1272403080000 has 1400 divisors, whose sum is σ = 5377400987112. Its totient is φ = 294617088000.

The previous prime is 1272403079861. The next prime is 1272403080031. The reversal of 1272403080000 is 803042721.

It can be written as a sum of positive squares in 20 ways, for example, as 1267083419904 + 5319660096 = 1125648^2 + 72936^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 716039112 + ... + 716040888.

Almost surely, 2^{1272403080000} is an apocalyptic number.

1272403080000 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 1272403080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688700493556).

1272403080000 is an abundant number, since it is smaller than the sum of its proper divisors (4104997907112).

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

1272403080000 is a wasteful number, since it uses less digits than its factorization.

1272403080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 1272403080000 in words is "one trillion, two hundred seventy-two billion, four hundred three million, eighty thousand".