122112000211200 has 432 divisors, whose sum is σ = 413071156920576. Its totient is φ = 31751606476800.

The previous prime is 122112000211189. The next prime is 122112000211259. The reversal of 122112000211200 is 2112000211221.

It is a super-2 number, since 2×122112000211200² (a number of 29 digits) contains 22 as substring.

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 122112000211200.

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, 484501215 + ... + 484753185.

Almost surely, 2^{122112000211200} is an apocalyptic number.

122112000211200 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 122112000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206535578460288).

122112000211200 is an abundant number, since it is smaller than the sum of its proper divisors (290959156709376).

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

122112000211200 is a wasteful number, since it uses less digits than its factorization.

122112000211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252630 (or 252611 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122112000211200 its reverse (2112000211221), we get a palindrome (124224000422421).

The spelling of 122112000211200 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred eleven thousand, two hundred".