10122012333200 has 60 divisors (see below), whose sum is σ = 24554233124928. Its totient is φ = 4009496131200.

The previous prime is 10122012333157. The next prime is 10122012333203. The reversal of 10122012333200 is 233321022101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10122012333203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122798756 + ... + 122881155.

Almost surely, 2^{10122012333200} is an apocalyptic number.

10122012333200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122012333200 is an abundant number, since it is smaller than the sum of its proper divisors (14432220791728).

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

10122012333200 is a wasteful number, since it uses less digits than its factorization.

10122012333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245680032 (or 245680021 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10122012333200 its reverse (233321022101), we get a palindrome (10355333355301).

The spelling of 10122012333200 in words is "ten trillion, one hundred twenty-two billion, twelve million, three hundred thirty-three thousand, two hundred".