1207294920 has 192 divisors, whose sum is σ = 4295818800. Its totient is φ = 292239360.

The previous prime is 1207294919. The next prime is 1207294931. The reversal of 1207294920 is 294927021.

It can be written as a sum of positive squares in 8 ways, for example, as 361532196 + 845762724 = 19014^2 + 29082^2 .

It is a super-2 number, since 2×1207294920² = 2915122047715612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283366 + ... + 287594.

Almost surely, 2^1207294920 is an apocalyptic number.

1207294920 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 1207294920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147909400).

1207294920 is an abundant number, since it is smaller than the sum of its proper divisors (3088523880).

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

1207294920 is a wasteful number, since it uses less digits than its factorization.

1207294920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1207294920 is about 34746.1497147526. The cubic root of 1207294920 is about 1064.8075563143.

The spelling of 1207294920 in words is "one billion, two hundred seven million, two hundred ninety-four thousand, nine hundred twenty".