122107052000 has 192 divisors, whose sum is σ = 312636542400. Its totient is φ = 46813132800.

The previous prime is 122107051981. The next prime is 122107052027. The reversal of 122107052000 is 250701221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16120214 + ... + 16127786.

It is an arithmetic number, because the mean of its divisors is an integer number (1628315325).

Almost surely, 2^122107052000 is an apocalyptic number.

122107052000 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 122107052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156318271200).

122107052000 is an abundant number, since it is smaller than the sum of its proper divisors (190529490400).

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

122107052000 is a wasteful number, since it uses less digits than its factorization.

122107052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

Adding to 122107052000 its reverse (250701221), we get a palindrome (122357753221).

The spelling of 122107052000 in words is "one hundred twenty-two billion, one hundred seven million, fifty-two thousand".