20122121011200 has 792 divisors, whose sum is σ = 72144259746408. Its totient is φ = 4946594365440.

The previous prime is 20122121011199. The next prime is 20122121011313. The reversal of 20122121011200 is 211012122102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20122121011200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26581401222 + ... + 26581401978.

Almost surely, 2^{20122121011200} is an apocalyptic number.

20122121011200 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 20122121011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36072129873204).

20122121011200 is an abundant number, since it is smaller than the sum of its proper divisors (52022138735208).

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

20122121011200 is an frugal number, since it uses more digits than its factorization.

20122121011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20122121011200 its reverse (211012122102), we get a palindrome (20333133133302).

The spelling of 20122121011200 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, eleven thousand, two hundred".