20401171200 has 324 divisors, whose sum is σ = 73224832408. Its totient is φ = 5419008000.

The previous prime is 20401171177. The next prime is 20401171223. The reversal of 20401171200 is 217110402.

It is an interprime number because it is at equal distance from previous prime (20401171177) and next prime (20401171223).

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

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, 19410675 + ... + 19411725.

Almost surely, 2^20401171200 is an apocalyptic number.

20401171200 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 20401171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36612416204).

20401171200 is an abundant number, since it is smaller than the sum of its proper divisors (52823661208).

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

20401171200 is a wasteful number, since it uses less digits than its factorization.

20401171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 20401171200 its reverse (217110402), we get a palindrome (20618281602).

The spelling of 20401171200 in words is "twenty billion, four hundred one million, one hundred seventy-one thousand, two hundred".