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122325120525440 = 27571091375118217
BaseRepresentation
bin11011110100000100001001…
…010110110010010010000000
3121001010011111222020211021202
4123310010021112302102000
5112013133321323303230
61112055215023040332
734523461343436230
oct3364041126622200
9531104458224252
10122325120525440
1135a81879588918
12118775174400a8
135334294ca5281
14222c7d301dcc0
15e21e55370a45
hex6f41095b2480

122325120525440 has 256 divisors, whose sum is σ = 337318891430400. Its totient is φ = 41549967360000.

The previous prime is 122325120525431. The next prime is 122325120525449. The reversal of 122325120525440 is 44525021523221.

It is an interprime number because it is at equal distance from previous prime (122325120525431) and next prime (122325120525449).

It is a super-2 number, since 2×1223251205254402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122325120525394 and 122325120525403.

It is not an unprimeable number, because it can be changed into a prime (122325120525449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6714879212 + ... + 6714897428.

It is an arithmetic number, because the mean of its divisors is an integer number (1317651919650).

Almost surely, 2122325120525440 is an apocalyptic number.

122325120525440 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 122325120525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168659445715200).

122325120525440 is an abundant number, since it is smaller than the sum of its proper divisors (214993770904960).

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

122325120525440 is a wasteful number, since it uses less digits than its factorization.

122325120525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32103 (or 32091 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The spelling of 122325120525440 in words is "one hundred twenty-two trillion, three hundred twenty-five billion, one hundred twenty million, five hundred twenty-five thousand, four hundred forty".