20122412400 has 180 divisors, whose sum is σ = 69897135672. Its totient is φ = 5360847360.

The previous prime is 20122412377. The next prime is 20122412407. The reversal of 20122412400 is 421422102.

20122412400 is a `hidden beast` number, since 20 + 1 + 2 + 241 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×20122412400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122412407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5135242 + ... + 5139158.

Almost surely, 2^20122412400 is an apocalyptic number.

20122412400 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 20122412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34948567836).

20122412400 is an abundant number, since it is smaller than the sum of its proper divisors (49774723272).

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

20122412400 is a wasteful number, since it uses less digits than its factorization.

20122412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20122412400 its reverse (421422102), we get a palindrome (20543834502).

The spelling of 20122412400 in words is "twenty billion, one hundred twenty-two million, four hundred twelve thousand, four hundred".