127233145927200 has 576 divisors, whose sum is σ = 448918868103552. Its totient is φ = 31175398195200.

The previous prime is 127233145927189. The next prime is 127233145927207. The reversal of 127233145927200 is 2729541332721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 127233145927200.

It is not an unprimeable number, because it can be changed into a prime (127233145927207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3896506074 + ... + 3896538726.

It is an arithmetic number, because the mean of its divisors is an integer number (779373034902).

Almost surely, 2^{127233145927200} is an apocalyptic number.

127233145927200 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 127233145927200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224459434051776).

127233145927200 is an abundant number, since it is smaller than the sum of its proper divisors (321685722176352).

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

127233145927200 is a wasteful number, since it uses less digits than its factorization.

127233145927200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34957 (or 34944 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 127233145927200 in words is "one hundred twenty-seven trillion, two hundred thirty-three billion, one hundred forty-five million, nine hundred twenty-seven thousand, two hundred".