12351530100 has 288 divisors, whose sum is σ = 44711193856. Its totient is φ = 2562969600.

The previous prime is 12351530011. The next prime is 12351530119. The reversal of 12351530100 is 103515321.

It is a super-2 number, since 2×12351530100² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1661592 + ... + 1669008.

Almost surely, 2^12351530100 is an apocalyptic number.

12351530100 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 12351530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22355596928).

12351530100 is an abundant number, since it is smaller than the sum of its proper divisors (32359663756).

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

12351530100 is a wasteful number, since it uses less digits than its factorization.

12351530100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The spelling of 12351530100 in words is "twelve billion, three hundred fifty-one million, five hundred thirty thousand, one hundred".