12350106000 has 120 divisors (see below), whose sum is σ = 43134866424. Its totient is φ = 3293356800.

The previous prime is 12350105993. The next prime is 12350106007. The reversal of 12350106000 is 60105321.

12350106000 is a `hidden beast` number, since 1 + 2 + 3 + 50 + 10 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12350105993) and next prime (12350106007).

It can be written as a sum of positive squares in 4 ways, for example, as 34433424 + 12315672576 = 5868^2 + 110976^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×12350106000² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12350106007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325059 + ... + 361058.

Almost surely, 2^12350106000 is an apocalyptic number.

12350106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12350106000 is an abundant number, since it is smaller than the sum of its proper divisors (30784760424).

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

12350106000 is a wasteful number, since it uses less digits than its factorization.

12350106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686146 (or 686127 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 12350106000 in words is "twelve billion, three hundred fifty million, one hundred six thousand".