10712421300 has 144 divisors (see below), whose sum is σ = 36380032640. Its totient is φ = 2382359040.

The previous prime is 10712421233. The next prime is 10712421341. The reversal of 10712421300 is 312421701.

10712421300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10712421300² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8766 + ... + 146634.

Almost surely, 2^10712421300 is an apocalyptic number.

10712421300 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 10712421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18190016320).

10712421300 is an abundant number, since it is smaller than the sum of its proper divisors (25667611340).

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

10712421300 is a wasteful number, since it uses less digits than its factorization.

10712421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137930 (or 137923 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The spelling of 10712421300 in words is "ten billion, seven hundred twelve million, four hundred twenty-one thousand, three hundred".