1207214400 has 672 divisors, whose sum is σ = 4999045120. Its totient is φ = 248832000.

The previous prime is 1207214389. The next prime is 1207214401. The reversal of 1207214400 is 44127021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1207214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19790370 + ... + 19790430.

Almost surely, 2^1207214400 is an apocalyptic number.

1207214400 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 1207214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499522560).

1207214400 is an abundant number, since it is smaller than the sum of its proper divisors (3791830720).

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

1207214400 is a wasteful number, since it uses less digits than its factorization.

1207214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1207214400 is about 34744.9910058990. The cubic root of 1207214400 is about 1064.7838834985.

The spelling of 1207214400 in words is "one billion, two hundred seven million, two hundred fourteen thousand, four hundred".