1272612751200 has 864 divisors, whose sum is σ = 5669088717600. Its totient is φ = 273768284160.

The previous prime is 1272612751199. The next prime is 1272612751219. The reversal of 1272612751200 is 21572162721.

1272612751200 is a `hidden beast` number, since 1 + 2 + 7 + 261 + 275 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17957436 + ... + 18028164.

It is an arithmetic number, because the mean of its divisors is an integer number (6561445275).

Almost surely, 2^{1272612751200} is an apocalyptic number.

1272612751200 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 1272612751200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834544358800).

1272612751200 is an abundant number, since it is smaller than the sum of its proper divisors (4396475966400).

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

1272612751200 is a wasteful number, since it uses less digits than its factorization.

1272612751200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70789 (or 70763 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 1272612751200 in words is "one trillion, two hundred seventy-two billion, six hundred twelve million, seven hundred fifty-one thousand, two hundred".