122100000000 has 648 divisors, whose sum is σ = 455109141984. Its totient is φ = 28800000000.

The previous prime is 122099999977. The next prime is 122100000023. The reversal of 122100000000 is 1221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122099999977) and next prime (122100000023).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3299999982 + ... + 3300000018.

Almost surely, 2^122100000000 is an apocalyptic number.

122100000000 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 122100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227554570992).

122100000000 is an abundant number, since it is smaller than the sum of its proper divisors (333009141984).

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

122100000000 is an frugal number, since it uses more digits than its factorization.

122100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 122100000000 its reverse (1221), we get a palindrome (122100001221).

Multiplying 122100000000 by its reverse (1221), we get a square (149084100000000 = 12210000²).

122100000000 divided by its reverse (1221) gives a 8-th power (100000000 = 10⁸).

It can be divided in two parts, 12 and 2100000000, that added together give a palindrome (2100000012).

The spelling of 122100000000 in words is "one hundred twenty-two billion, one hundred million", and thus it is an aban number.