20122001400 has 96 divisors (see below), whose sum is σ = 62827228800. Its totient is φ = 5327241600.

The previous prime is 20122001381. The next prime is 20122001413. The reversal of 20122001400 is 410022102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37236 + ... + 204035.

It is an arithmetic number, because the mean of its divisors is an integer number (654450300).

Almost surely, 2^20122001400 is an apocalyptic number.

20122001400 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 20122001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31413614400).

20122001400 is an abundant number, since it is smaller than the sum of its proper divisors (42705227400).

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

20122001400 is a wasteful number, since it uses less digits than its factorization.

20122001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241429 (or 241420 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20122001400 its reverse (410022102), we get a palindrome (20532023502).

The spelling of 20122001400 in words is "twenty billion, one hundred twenty-two million, one thousand, four hundred".