1272105648 has 400 divisors, whose sum is σ = 4423779360. Its totient is φ = 348364800.

The previous prime is 1272105641. The next prime is 1272105697. The reversal of 1272105648 is 8465012721.

1272105648 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 1 + 0 + 5 + 648 = 666.

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 not an unprimeable number, because it can be changed into a prime (1272105641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7028118 + ... + 7028298.

Almost surely, 2^1272105648 is an apocalyptic number.

1272105648 is a gapful number since it is divisible by the number (18) 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 1272105648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211889680).

1272105648 is an abundant number, since it is smaller than the sum of its proper divisors (3151673712).

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

1272105648 is a wasteful number, since it uses less digits than its factorization.

1272105648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1272105648 is about 35666.5900809147. The cubic root of 1272105648 is about 1083.5302994501.

The spelling of 1272105648 in words is "one billion, two hundred seventy-two million, one hundred five thousand, six hundred forty-eight".