1230152400 has 120 divisors (see below), whose sum is σ = 4378469760. Its totient is φ = 328037760.

The previous prime is 1230152387. The next prime is 1230152437. The reversal of 1230152400 is 42510321.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46152 + ... + 67751.

It is an arithmetic number, because the mean of its divisors is an integer number (36487248).

Almost surely, 2^1230152400 is an apocalyptic number.

1230152400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230152400 is an abundant number, since it is smaller than the sum of its proper divisors (3148317360).

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

1230152400 is a wasteful number, since it uses less digits than its factorization.

1230152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113930 (or 113913 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1230152400 is about 35073.5284794672. The cubic root of 1230152400 is about 1071.4855192588.

Adding to 1230152400 its reverse (42510321), we get a palindrome (1272662721).

The spelling of 1230152400 in words is "one billion, two hundred thirty million, one hundred fifty-two thousand, four hundred".