1272498242400 has 2592 divisors, whose sum is σ = 5975041572864. Its totient is φ = 249080832000.

The previous prime is 1272498242359. The next prime is 1272498242441. The reversal of 1272498242400 is 42428942721.

1272498242400 is a `hidden beast` number, since 12 + 72 + 498 + 2 + 42 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1272498242359) and next prime (1272498242441).

It is a super-2 number, since 2×1272498242400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 10019671137 + ... + 10019671263.

It is an arithmetic number, because the mean of its divisors is an integer number (2305185792).

Almost surely, 2^{1272498242400} is an apocalyptic number.

1272498242400 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 1272498242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987520786432).

1272498242400 is an abundant number, since it is smaller than the sum of its proper divisors (4702543330464).

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

1272498242400 is a wasteful number, since it uses less digits than its factorization.

1272498242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1272498242400 in words is "one trillion, two hundred seventy-two billion, four hundred ninety-eight million, two hundred forty-two thousand, four hundred".