122012011122100 has 72 divisors (see below), whose sum is σ = 304037585661600. Its totient is φ = 42032845929600.

The previous prime is 122012011122047. The next prime is 122012011122107. The reversal of 122012011122100 is 1221110210221.

It is a super-2 number, since 2×122012011122100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012011122107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2918926735 + ... + 2918968534.

It is an arithmetic number, because the mean of its divisors is an integer number (4222744245300).

Almost surely, 2^{122012011122100} is an apocalyptic number.

122012011122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012011122100 is an abundant number, since it is smaller than the sum of its proper divisors (182025574539500).

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

122012011122100 is a wasteful number, since it uses less digits than its factorization.

122012011122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5837895313 (or 5837895306 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122012011122100 its reverse (1221110210221), we get a palindrome (123233121332321).

The spelling of 122012011122100 in words is "one hundred twenty-two trillion, twelve billion, eleven million, one hundred twenty-two thousand, one hundred".