1293115746320 has 20 divisors (see below), whose sum is σ = 3006494110380. Its totient is φ = 517246298496.

The previous prime is 1293115746311. The next prime is 1293115746463. The reversal of 1293115746320 is 236475113921.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 147505156096 + 1145610590224 = 384064^2 + 1070332^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8081973335 + ... + 8081973494.

It is an arithmetic number, because the mean of its divisors is an integer number (150324705519).

Almost surely, 2^{1293115746320} is an apocalyptic number.

1293115746320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1293115746320 is an abundant number, since it is smaller than the sum of its proper divisors (1713378364060).

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

1293115746320 is a wasteful number, since it uses less digits than its factorization.

1293115746320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16163946842 (or 16163946836 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 1293115746320 in words is "one trillion, two hundred ninety-three billion, one hundred fifteen million, seven hundred forty-six thousand, three hundred twenty".