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122325114434440 = 235231931341751347
BaseRepresentation
bin11011110100000100001000…
…111111100011001110001000
3121001010011111112210101000011
4123310010020333203032020
5112013133313243400230
61112055214244321304
734523461240610221
oct3364041077431610
9531104445711004
10122325114434440
1135a818760a8635
12118775153a3234
135334293951a28
14222c7d22b6248
15e21e54a6ae2a
hex6f4108fe3388

122325114434440 has 128 divisors (see below), whose sum is σ = 288713306914560. Its totient is φ = 46555774746624.

The previous prime is 122325114434437. The next prime is 122325114434459. The reversal of 122325114434440 is 44434411523221.

It is a super-2 number, since 2×1223251144344402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 122325114434393 and 122325114434402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2382296847 + ... + 2382348193.

It is an arithmetic number, because the mean of its divisors is an integer number (2255572710270).

Almost surely, 2122325114434440 is an apocalyptic number.

122325114434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122325114434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144356653457280).

122325114434440 is an abundant number, since it is smaller than the sum of its proper divisors (166388192480120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122325114434440 is a wasteful number, since it uses less digits than its factorization.

122325114434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64991 (or 64987 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

Adding to 122325114434440 its reverse (44434411523221), we get a palindrome (166759525957661).

The spelling of 122325114434440 in words is "one hundred twenty-two trillion, three hundred twenty-five billion, one hundred fourteen million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 193 230 386 460 772 920 965 1544 1930 3860 4439 7720 8878 13417 17756 22195 26834 35512 44390 51347 53668 67085 88780 102694 107336 134170 177560 205388 256735 268340 308591 410776 513470 536680 617182 1026940 1180981 1234364 1542955 2053880 2361962 2468728 2589481 3085910 4723924 5178962 5904905 6171820 9447848 9909971 10357924 11809810 12343640 12947405 19819942 20715848 23619620 25894810 39639884 47239240 49549855 51789620 59558063 79279768 99099710 103579240 119116126 198199420 227929333 238232252 297790315 396398840 455858666 476464504 595580630 688922699 911717332 1139646665 1191161260 1377845398 1823434664 2279293330 2382322520 2755690796 3444613495 4558586660 5511381592 6889226990 9117173320 13778453980 15845222077 27556907960 31690444154 63380888308 79226110385 126761776616 132962080907 158452220770 265924161814 316904441540 531848323628 633808883080 664810404535 1063696647256 1329620809070 2659241618140 3058127860861 5318483236280 6116255721722 12232511443444 15290639304305 24465022886888 30581278608610 61162557217220 122325114434440