1407012129 has 18 divisors (see below), whose sum is σ = 2083151798. Its totient is φ = 915120000.

The previous prime is 1407012109. The next prime is 1407012133. The reversal of 1407012129 is 9212107041.

It can be written as a sum of positive squares in 3 ways, for example, as 762129 + 1406250000 = 873^2 + 37500^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1407012129 is a prime.

It is a super-2 number, since 2×1407012129² = 3959366262306225282, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1407012109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31372 + ... + 61629.

Almost surely, 2^1407012129 is an apocalyptic number.

It is an amenable number.

1407012129 is a deficient number, since it is larger than the sum of its proper divisors (676139669).

1407012129 is an equidigital number, since it uses as much as digits as its factorization.

1407012129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93089 (or 93045 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1407012129 is about 37510.1603435656. The cubic root of 1407012129 is about 1120.5535446660.

The spelling of 1407012129 in words is "one billion, four hundred seven million, twelve thousand, one hundred twenty-nine".