1240012800 has 720 divisors, whose sum is σ = 5161075920. Its totient is φ = 291962880.

The previous prime is 1240012771. The next prime is 1240012811. The reversal of 1240012800 is 82100421.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×1240012800³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53913589 + ... + 53913611.

It is an arithmetic number, because the mean of its divisors is an integer number (7168161).

Almost surely, 2^1240012800 is an apocalyptic number.

1240012800 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 1240012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580537960).

1240012800 is an abundant number, since it is smaller than the sum of its proper divisors (3921063120).

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

1240012800 is a wasteful number, since it uses less digits than its factorization.

1240012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1240012800 is about 35213.8154706360. The cubic root of 1240012800 is about 1074.3407676199.

It can be divided in two parts, 12400 and 12800, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 1240012800 in words is "one billion, two hundred forty million, twelve thousand, eight hundred".