1292347956100 has 72 divisors (see below), whose sum is σ = 2858969779848. Its totient is φ = 506890675200.

The previous prime is 1292347956091. The next prime is 1292347956127. The reversal of 1292347956100 is 16597432921.

It can be written as a sum of positive squares in 12 ways, for example, as 985369904964 + 306978051136 = 992658^2 + 554056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9157272 + ... + 9297328.

It is an arithmetic number, because the mean of its divisors is an integer number (39707913609).

Almost surely, 2^{1292347956100} is an apocalyptic number.

1292347956100 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 1292347956100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429484889924).

1292347956100 is an abundant number, since it is smaller than the sum of its proper divisors (1566621823748).

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

1292347956100 is a wasteful number, since it uses less digits than its factorization.

1292347956100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141865 (or 141858 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 1292347956100 in words is "one trillion, two hundred ninety-two billion, three hundred forty-seven million, nine hundred fifty-six thousand, one hundred".