11920272400 has 135 divisors (see below), whose sum is σ = 29475137559. Its totient is φ = 4632725760.

The previous prime is 11920272389. The next prime is 11920272407. The reversal of 11920272400 is 427202911.

The square root of 11920272400 is 109180.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 89794576 + 11830477824 = 9476^2 + 108768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11920272407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115730749 + ... + 115730851.

Almost surely, 2^11920272400 is an apocalyptic number.

11920272400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11920272400 is the 109180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11920272400

11920272400 is an abundant number, since it is smaller than the sum of its proper divisors (17554865159).

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

11920272400 is an equidigital number, since it uses as much as digits as its factorization.

11920272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 11920272400 in words is "eleven billion, nine hundred twenty million, two hundred seventy-two thousand, four hundred".