1272634978496 has 224 divisors, whose sum is σ = 3139140759552. Its totient is φ = 499481395200.

The previous prime is 1272634978493. The next prime is 1272634978519. The reversal of 1272634978496 is 6948794362721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (68).

It is not an unprimeable number, because it can be changed into a prime (1272634978493) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 61915421 + ... + 61935971.

It is an arithmetic number, because the mean of its divisors is an integer number (14014021248).

Almost surely, 2^{1272634978496} is an apocalyptic number.

1272634978496 is a gapful number since it is divisible by the number (16) 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 1272634978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569570379776).

1272634978496 is an abundant number, since it is smaller than the sum of its proper divisors (1866505781056).

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

1272634978496 is a wasteful number, since it uses less digits than its factorization.

1272634978496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20807 (or 20797 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 68.

The spelling of 1272634978496 in words is "one trillion, two hundred seventy-two billion, six hundred thirty-four million, nine hundred seventy-eight thousand, four hundred ninety-six".