122781957360 has 320 divisors, whose sum is σ = 415845384192. Its totient is φ = 29842587648.

The previous prime is 122781957349. The next prime is 122781957401. The reversal of 122781957360 is 63759187221.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34266129 + ... + 34269711.

Almost surely, 2^122781957360 is an apocalyptic number.

122781957360 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 122781957360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207922692096).

122781957360 is an abundant number, since it is smaller than the sum of its proper divisors (293063426832).

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

122781957360 is a wasteful number, since it uses less digits than its factorization.

122781957360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 122781957360 in words is "one hundred twenty-two billion, seven hundred eighty-one million, nine hundred fifty-seven thousand, three hundred sixty".