12434553300 has 144 divisors (see below), whose sum is σ = 40081184640. Its totient is φ = 2955240960.

The previous prime is 12434553293. The next prime is 12434553323. The reversal of 12434553300 is 335543421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58129 + ... + 168071.

It is an arithmetic number, because the mean of its divisors is an integer number (278341560).

Almost surely, 2^12434553300 is an apocalyptic number.

12434553300 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 12434553300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20040592320).

12434553300 is an abundant number, since it is smaller than the sum of its proper divisors (27646631340).

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

12434553300 is a wasteful number, since it uses less digits than its factorization.

12434553300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110002 (or 109995 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 12434553300 in words is "twelve billion, four hundred thirty-four million, five hundred fifty-three thousand, three hundred".