122012100 has 216 divisors, whose sum is σ = 443596608. Its totient is φ = 27475200.

The previous prime is 122012087. The next prime is 122012101. The reversal of 122012100 is 1210221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (122012101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 674010 + ... + 674190.

It is an arithmetic number, because the mean of its divisors is an integer number (2053688).

Almost surely, 2^122012100 is an apocalyptic number.

122012100 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 122012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221798304).

122012100 is an abundant number, since it is smaller than the sum of its proper divisors (321584508).

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

122012100 is a wasteful number, since it uses less digits than its factorization.

122012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 122012100 is about 11045.9087448702. The cubic root of 122012100 is about 495.9839625841.

Adding to 122012100 its reverse (1210221), we get a palindrome (123222321).

The spelling of 122012100 in words is "one hundred twenty-two million, twelve thousand, one hundred".