122888435281920 has 4992 divisors, whose sum is σ = 585605279121408. Its totient is φ = 23964313190400.

The previous prime is 122888435281849. The next prime is 122888435281967. The reversal of 122888435281920 is 29182534888221.

122888435281920 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 8 + 8 + 435 + 2 + 8 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 643394949025 + ... + 643394949215.

It is an arithmetic number, because the mean of its divisors is an integer number (117308749824).

Almost surely, 2^{122888435281920} is an apocalyptic number.

122888435281920 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 122888435281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292802639560704).

122888435281920 is an abundant number, since it is smaller than the sum of its proper divisors (462716843839488).

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

122888435281920 is a wasteful number, since it uses less digits than its factorization.

122888435281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 122888435281920 in words is "one hundred twenty-two trillion, eight hundred eighty-eight billion, four hundred thirty-five million, two hundred eighty-one thousand, nine hundred twenty".