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121341440 = 2951131139
BaseRepresentation
bin1110011101110…
…00011000000000
322110022210011102
413032320120000
5222030411230
620012433532
73002246063
oct716703000
9273283142
10121341440
1162548690
12347788a8
131c1a668c
14121888da
15a9bd045
hex73b8600

121341440 has 160 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 42393600.

The previous prime is 121341419. The next prime is 121341457. The reversal of 121341440 is 44143121.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1213414402 = 29447490122547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872891 + ... + 873029.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2121341440 is an apocalyptic number.

121341440 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 121341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

121341440 is an abundant number, since it is smaller than the sum of its proper divisors (208637440).

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

121341440 is a wasteful number, since it uses less digits than its factorization.

121341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 121341440 is about 11015.5090667658. The cubic root of 121341440 is about 495.0735393921.

Adding to 121341440 its reverse (44143121), we get a palindrome (165484561).

The spelling of 121341440 in words is "one hundred twenty-one million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 139 155 160 176 220 248 256 278 310 320 341 352 440 496 512 556 620 640 682 695 704 880 992 1112 1240 1280 1364 1390 1408 1529 1705 1760 1984 2224 2480 2560 2728 2780 2816 3058 3410 3520 3968 4309 4448 4960 5456 5560 5632 6116 6820 7040 7645 7936 8618 8896 9920 10912 11120 12232 13640 14080 15290 15872 17236 17792 19840 21545 21824 22240 24464 27280 28160 30580 34472 35584 39680 43090 43648 44480 47399 48928 54560 61160 68944 71168 79360 86180 87296 88960 94798 97856 109120 122320 137888 172360 174592 177920 189596 195712 218240 236995 244640 275776 344720 355840 379192 391424 436480 473990 489280 551552 689440 758384 782848 872960 947980 978560 1103104 1378880 1516768 1895960 1957120 2206208 2757760 3033536 3791920 3914240 5515520 6067072 7583840 11031040 12134144 15167680 24268288 30335360 60670720 121341440