1272402357600 has 288 divisors, whose sum is σ = 4523561973504. Its totient is φ = 308094105600.

The previous prime is 1272402357599. The next prime is 1272402357601. The reversal of 1272402357600 is 67532042721.

It is an interprime number because it is at equal distance from previous prime (1272402357599) and next prime (1272402357601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272402357601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22490949 + ... + 22547451.

It is an arithmetic number, because the mean of its divisors is an integer number (15706812408).

Almost surely, 2^{1272402357600} is an apocalyptic number.

1272402357600 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 1272402357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261780986752).

1272402357600 is an abundant number, since it is smaller than the sum of its proper divisors (3251159615904).

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

1272402357600 is a wasteful number, since it uses less digits than its factorization.

1272402357600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57390 (or 57377 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 1272402357600 in words is "one trillion, two hundred seventy-two billion, four hundred two million, three hundred fifty-seven thousand, six hundred".