202210413120 has 112 divisors (see below), whose sum is σ = 713353432320. Its totient is φ = 53922774528.

The previous prime is 202210413113. The next prime is 202210413133. The reversal of 202210413120 is 21314012202.

It is a happy number.

202210413120 is a `hidden beast` number, since 20 + 2 + 210 + 413 + 1 + 20 = 666.

It is a super-2 number, since 2×202210413120² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 202210413093 and 202210413102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11693352 + ... + 11710631.

Almost surely, 2^202210413120 is an apocalyptic number.

202210413120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202210413120 is an abundant number, since it is smaller than the sum of its proper divisors (511143019200).

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

202210413120 is a wasteful number, since it uses less digits than its factorization.

202210413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23404009 (or 23403993 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202210413120 its reverse (21314012202), we get a palindrome (223524425322).

The spelling of 202210413120 in words is "two hundred two billion, two hundred ten million, four hundred thirteen thousand, one hundred twenty".