1387212800 has 312 divisors, whose sum is σ = 3900226560. Its totient is φ = 486604800.

The previous prime is 1387212791. The next prime is 1387212803. The reversal of 1387212800 is 82127831.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1387212803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44748785 + ... + 44748815.

Almost surely, 2^1387212800 is an apocalyptic number.

1387212800 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 1387212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950113280).

1387212800 is an abundant number, since it is smaller than the sum of its proper divisors (2513013760).

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

1387212800 is a wasteful number, since it uses less digits than its factorization.

1387212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1387212800 is about 37245.3057444828. The cubic root of 1387212800 is about 1115.2725911578.

The spelling of 1387212800 in words is "one billion, three hundred eighty-seven million, two hundred twelve thousand, eight hundred".