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122421215252320 = 25524124697128551
BaseRepresentation
bin11011110101011101101001…
…000011000100111101100000
3121001110100112222102201221021
4123311131221003010331200
5112021222122101033240
61112211310242335224
734533432560231635
oct3365355103047540
9531410488381837
10122421215252320
113600960054a476
121189207535a514
13534036a6ab8ca
14223330b54818c
15e246cb7e754a
hex6f57690c4f60

122421215252320 has 96 divisors (see below), whose sum is σ = 290434223128896. Its totient is φ = 48762943488000.

The previous prime is 122421215252263. The next prime is 122421215252327. The reversal of 122421215252320 is 23252512124221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122421215252327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952252045 + ... + 952380595.

It is an arithmetic number, because the mean of its divisors is an integer number (3025356490926).

Almost surely, 2122421215252320 is an apocalyptic number.

122421215252320 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 122421215252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145217111564448).

122421215252320 is an abundant number, since it is smaller than the sum of its proper divisors (168013007876576).

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

122421215252320 is a wasteful number, since it uses less digits than its factorization.

122421215252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153504 (or 153496 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 122421215252320 its reverse (23252512124221), we get a palindrome (145673727376541).

The spelling of 122421215252320 in words is "one hundred twenty-two trillion, four hundred twenty-one billion, two hundred fifteen million, two hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 241 482 964 1205 1928 2410 3856 4820 7712 9640 19280 24697 38560 49394 98788 123485 128551 197576 246970 257102 395152 493940 514204 642755 790304 987880 1028408 1285510 1975760 2056816 2571020 3951520 4113632 5142040 5951977 10284080 11903954 20568160 23807908 29759885 30980791 47615816 59519770 61961582 95231632 119039540 123923164 154903955 190463264 238079080 247846328 309807910 476158160 495692656 619615820 952316320 991385312 1239231640 2478463280 3174824047 4956926560 6349648094 12699296188 15874120235 25398592376 31748240470 50797184752 63496480940 101594369504 126992961880 253985923760 507971847520 765132595327 1530265190654 3060530381308 3825662976635 6121060762616 7651325953270 12242121525232 15302651906540 24484243050464 30605303813080 61210607626160 122421215252320