201120400 has 60 divisors (see below), whose sum is σ = 520373812. Its totient is φ = 74257920.

The previous prime is 201120397. The next prime is 201120401. The reversal of 201120400 is 4021102.

It can be written as a sum of positive squares in 6 ways, for example, as 71707024 + 129413376 = 8468^2 + 11376^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201120401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14139 + ... + 24538.

Almost surely, 2^201120400 is an apocalyptic number.

201120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120400 is an abundant number, since it is smaller than the sum of its proper divisors (319253412).

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

201120400 is a wasteful number, since it uses less digits than its factorization.

201120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38708 (or 38697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 201120400 is about 14181.6924236848. The cubic root of 201120400 is about 585.8935379520.

Adding to 201120400 its reverse (4021102), we get a palindrome (205141502).

The spelling of 201120400 in words is "two hundred one million, one hundred twenty thousand, four hundred".