1272264711120 has 240 divisors, whose sum is σ = 4608835921872. Its totient is φ = 312663859200.

The previous prime is 1272264710993. The next prime is 1272264711127. The reversal of 1272264711120 is 211174622721.

1272264711120 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 2 + 647 + 1 + 1 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 252156631104 + 1020108080016 = 502152^2 + 1010004^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1272264711120² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272264711127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5664970 + ... + 5885270.

Almost surely, 2^{1272264711120} is an apocalyptic number.

1272264711120 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 1272264711120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304417960936).

1272264711120 is an abundant number, since it is smaller than the sum of its proper divisors (3336571210752).

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

1272264711120 is a wasteful number, since it uses less digits than its factorization.

1272264711120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220950 (or 220941 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 1272264711120 in words is "one trillion, two hundred seventy-two billion, two hundred sixty-four million, seven hundred eleven thousand, one hundred twenty".