12010253400 has 576 divisors, whose sum is σ = 44815658400. Its totient is φ = 2954880000.

The previous prime is 12010253393. The next prime is 12010253441. The reversal of 12010253400 is 435201021.

12010253400 is a `hidden beast` number, since 1 + 2 + 0 + 10 + 253 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 118913350 + ... + 118913450.

Almost surely, 2^12010253400 is an apocalyptic number.

12010253400 is a gapful number since it is divisible by the number (10) 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 12010253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407829200).

12010253400 is an abundant number, since it is smaller than the sum of its proper divisors (32805405000).

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

12010253400 is a wasteful number, since it uses less digits than its factorization.

12010253400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12010253400 its reverse (435201021), we get a palindrome (12445454421).

The spelling of 12010253400 in words is "twelve billion, ten million, two hundred fifty-three thousand, four hundred".