121231123200 has 1728 divisors, whose sum is σ = 525566361600. Its totient is φ = 27047116800.

The previous prime is 121231123193. The next prime is 121231123213. The reversal of 121231123200 is 2321132121.

121231123200 is a `hidden beast` number, since 121 + 2 + 311 + 232 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 2054764771 + ... + 2054764829.

It is an arithmetic number, because the mean of its divisors is an integer number (304147200).

Almost surely, 2^121231123200 is an apocalyptic number.

121231123200 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 121231123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262783180800).

121231123200 is an abundant number, since it is smaller than the sum of its proper divisors (404335238400).

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

121231123200 is a wasteful number, since it uses less digits than its factorization.

121231123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

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

Adding to 121231123200 its reverse (2321132121), we get a palindrome (123552255321).

The spelling of 121231123200 in words is "one hundred twenty-one billion, two hundred thirty-one million, one hundred twenty-three thousand, two hundred".