103012123200 has 168 divisors, whose sum is σ = 386246534592. Its totient is φ = 23545620480.

The previous prime is 103012123183. The next prime is 103012123217. The reversal of 103012123200 is 2321210301.

It is an interprime number because it is at equal distance from previous prime (103012123183) and next prime (103012123217).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×103012123200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103012123200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1499319 + ... + 1566518.

Almost surely, 2^103012123200 is an apocalyptic number.

103012123200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103012123200 is an abundant number, since it is smaller than the sum of its proper divisors (283234411392).

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

103012123200 is a wasteful number, since it uses less digits than its factorization.

103012123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065869 (or 3065854 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103012123200 its reverse (2321210301), we get a palindrome (105333333501).

The spelling of 103012123200 in words is "one hundred three billion, twelve million, one hundred twenty-three thousand, two hundred".