122100022212000 has 2304 divisors, whose sum is σ = 484814735548416. Its totient is φ = 26769899520000.

The previous prime is 122100022211983. The next prime is 122100022212017. The reversal of 122100022212000 is 212220001221.

It is an interprime number because it is at equal distance from previous prime (122100022211983) and next prime (122100022212017).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 434519651860 + ... + 434519652140.

It is an arithmetic number, because the mean of its divisors is an integer number (210423062304).

Almost surely, 2^{122100022212000} is an apocalyptic number.

122100022212000 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 122100022212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242407367774208).

122100022212000 is an abundant number, since it is smaller than the sum of its proper divisors (362714713336416).

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

122100022212000 is a wasteful number, since it uses less digits than its factorization.

122100022212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 615 counting only the distinct ones).

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

Adding to 122100022212000 its reverse (212220001221), we get a palindrome (122312242213221).

The spelling of 122100022212000 in words is "one hundred twenty-two trillion, one hundred billion, twenty-two million, two hundred twelve thousand".