122120003132100 has 432 divisors, whose sum is σ = 404636693260800. Its totient is φ = 30720420495360.

The previous prime is 122120003132063. The next prime is 122120003132111. The reversal of 122120003132100 is 1231300021221.

122120003132100 is a `hidden beast` number, since 1 + 22 + 120 + 0 + 0 + 313 + 210 + 0 = 666.

It is a super-2 number, since 2×122120003132100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8331847972 + ... + 8331862628.

Almost surely, 2^{122120003132100} is an apocalyptic number.

122120003132100 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 122120003132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202318346630400).

122120003132100 is an abundant number, since it is smaller than the sum of its proper divisors (282516690128700).

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

122120003132100 is a wasteful number, since it uses less digits than its factorization.

122120003132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16732 (or 16722 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122120003132100 its reverse (1231300021221), we get a palindrome (123351303153321).

The spelling of 122120003132100 in words is "one hundred twenty-two trillion, one hundred twenty billion, three million, one hundred thirty-two thousand, one hundred".