127023472400 has 120 divisors (see below), whose sum is σ = 334609190784. Its totient is φ = 45955571200.

The previous prime is 127023472397. The next prime is 127023472417. The reversal of 127023472400 is 4274320721.

It is a super-2 number, since 2×127023472400² (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 793529 + ... + 940071.

Almost surely, 2^127023472400 is an apocalyptic number.

127023472400 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 127023472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167304595392).

127023472400 is an abundant number, since it is smaller than the sum of its proper divisors (207585718384).

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

127023472400 is a wasteful number, since it uses less digits than its factorization.

127023472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146769 (or 146758 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The spelling of 127023472400 in words is "one hundred twenty-seven billion, twenty-three million, four hundred seventy-two thousand, four hundred".