122011002000 has 320 divisors, whose sum is σ = 437802693120. Its totient is φ = 32481792000.

The previous prime is 122011001993. The next prime is 122011002017. The reversal of 122011002000 is 200110221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40120480 + ... + 40123520.

It is an arithmetic number, because the mean of its divisors is an integer number (1368133416).

Almost surely, 2^122011002000 is an apocalyptic number.

122011002000 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 122011002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218901346560).

122011002000 is an abundant number, since it is smaller than the sum of its proper divisors (315791691120).

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

122011002000 is a wasteful number, since it uses less digits than its factorization.

122011002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122011002000 its reverse (200110221), we get a palindrome (122211112221).

The spelling of 122011002000 in words is "one hundred twenty-two billion, eleven million, two thousand".