1292728320000 has 1350 divisors, whose sum is σ = 5114008471572. Its totient is φ = 314376192000.

The previous prime is 1292728319977. The next prime is 1292728320041. The reversal of 1292728320000 is 238272921.

It is a super-2 number, since 2×1292728320000² (a number of 25 digits) 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 polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 15575039959 + ... + 15575040041.

Almost surely, 2^{1292728320000} is an apocalyptic number.

1292728320000 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 1292728320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557004235786).

1292728320000 is an abundant number, since it is smaller than the sum of its proper divisors (3821280151572).

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

1292728320000 is an frugal number, since it uses more digits than its factorization.

1292728320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1292728320000 in words is "one trillion, two hundred ninety-two billion, seven hundred twenty-eight million, three hundred twenty thousand".