1292114916 has 45 divisors (see below), whose sum is σ = 3379535929. Its totient is φ = 430489296.

The previous prime is 1292114911. The next prime is 1292114933. The reversal of 1292114916 is 6194112921.

It is a happy number.

The square root of 1292114916 is 35946.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32148900 + 1259966016 = 5670^2 + 35496^2 .

It is a super-2 number, since 2×1292114916² = 3339121912299374112, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1292114911) 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 14 ways as a sum of consecutive naturals, for example, 646030 + ... + 648026.

Almost surely, 2^1292114916 is an apocalyptic number.

1292114916 is the 35946-th square number.

It is an amenable number.

1292114916 is an abundant number, since it is smaller than the sum of its proper divisors (2087421013).

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

1292114916 is an frugal number, since it uses more digits than its factorization.

1292114916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 2002 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The cubic root of 1292114916 is about 1089.1818105936.

Multiplying 1292114916 by its sum of digits (36), we get a square (46516136976 = 215676²).

1292114916 divided by its sum of digits (36) gives a square (35892081 = 5991²).

The spelling of 1292114916 in words is "one billion, two hundred ninety-two million, one hundred fourteen thousand, nine hundred sixteen".