10221232111200 has 432 divisors, whose sum is σ = 41388660331200. Its totient is φ = 2347459660800.

The previous prime is 10221232111193. The next prime is 10221232111231. The reversal of 10221232111200 is 211123212201.

10221232111200 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 321 + 1 + 120 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1891410 + ... + 4901009.

It is an arithmetic number, because the mean of its divisors is an integer number (95807084100).

Almost surely, 2^{10221232111200} is an apocalyptic number.

10221232111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221232111200 is an abundant number, since it is smaller than the sum of its proper divisors (31167428220000).

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

10221232111200 is a wasteful number, since it uses less digits than its factorization.

10221232111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792475 (or 6792459 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10221232111200 its reverse (211123212201), we get a palindrome (10432355323401).

The spelling of 10221232111200 in words is "ten trillion, two hundred twenty-one billion, two hundred thirty-two million, one hundred eleven thousand, two hundred".