122000022211200 has 384 divisors, whose sum is σ = 471654921736320. Its totient is φ = 27132050718720.

The previous prime is 122000022211187. The next prime is 122000022211213. The reversal of 122000022211200 is 2112220000221.

It is an interprime number because it is at equal distance from previous prime (122000022211187) and next prime (122000022211213).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122000022211200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22047067 + ... + 27019866.

It is an arithmetic number, because the mean of its divisors is an integer number (1228268025355).

Almost surely, 2^{122000022211200} is an apocalyptic number.

122000022211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000022211200 is an abundant number, since it is smaller than the sum of its proper divisors (349654899525120).

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

122000022211200 is a wasteful number, since it uses less digits than its factorization.

122000022211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49067004 (or 49066987 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122000022211200 its reverse (2112220000221), we get a palindrome (124112242211421).

The spelling of 122000022211200 in words is "one hundred twenty-two trillion, twenty-two million, two hundred eleven thousand, two hundred".