21122112113200 has 120 divisors (see below), whose sum is σ = 58047214146272. Its totient is φ = 7235382620160.

The previous prime is 21122112113189. The next prime is 21122112113209. The reversal of 21122112113200 is 231121122112.

It is a super-2 number, since 2×21122112113200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122112113209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249129 + ... + 6504328.

Almost surely, 2^{21122112113200} is an apocalyptic number.

21122112113200 is a gapful number since it is divisible by the number (20) 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 21122112113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29023607073136).

21122112113200 is an abundant number, since it is smaller than the sum of its proper divisors (36925102033072).

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

21122112113200 is a wasteful number, since it uses less digits than its factorization.

21122112113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754599 (or 6754588 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 21122112113200 its reverse (231121122112), we get a palindrome (21353233235312).

The spelling of 21122112113200 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred thirteen thousand, two hundred".