122502051402444 has 288 divisors, whose sum is σ = 364795743312000. Its totient is φ = 34644243110400.

The previous prime is 122502051402439. The next prime is 122502051402461. The reversal of 122502051402444 is 444204150205221.

122502051402444 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 0 + 205 + 1 + 4 + 0 + 2 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122502051402399 and 122502051402408.

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 95 ways as a sum of consecutive naturals, for example, 5184382422 + ... + 5184406050.

It is an arithmetic number, because the mean of its divisors is an integer number (1266651886500).

Almost surely, 2^{122502051402444} is an apocalyptic number.

122502051402444 is a gapful number since it is divisible by the number (14) 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 122502051402444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182397871656000).

122502051402444 is an abundant number, since it is smaller than the sum of its proper divisors (242293691909556).

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

122502051402444 is a wasteful number, since it uses less digits than its factorization.

122502051402444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27918 (or 27899 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 122502051402444 in words is "one hundred twenty-two trillion, five hundred two billion, fifty-one million, four hundred two thousand, four hundred forty-four".