12122121011200 has 384 divisors, whose sum is σ = 31187105125200. Its totient is φ = 4668407152640.

The previous prime is 12122121011183. The next prime is 12122121011213. The reversal of 12122121011200 is 211012122121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14657945187 + ... + 14657946013.

Almost surely, 2^{12122121011200} is an apocalyptic number.

12122121011200 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 12122121011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15593552562600).

12122121011200 is an abundant number, since it is smaller than the sum of its proper divisors (19064984114000).

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

12122121011200 is an frugal number, since it uses more digits than its factorization.

12122121011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12122121011200 its reverse (211012122121), we get a palindrome (12333133133321).

The spelling of 12122121011200 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, eleven thousand, two hundred".