1200270671424 has 448 divisors, whose sum is σ = 3948766905600. Its totient is φ = 354436300800.

The previous prime is 1200270671393. The next prime is 1200270671471. The reversal of 1200270671424 is 4241760720021.

1200270671424 is a `hidden beast` number, since 1 + 200 + 27 + 0 + 6 + 7 + 1 + 424 = 666.

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 63 ways as a sum of consecutive naturals, for example, 126379444 + ... + 126388940.

Almost surely, 2^{1200270671424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200270671424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974383452800).

1200270671424 is an abundant number, since it is smaller than the sum of its proper divisors (2748496234176).

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

1200270671424 is a wasteful number, since it uses less digits than its factorization.

1200270671424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9699 (or 9683 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 1200270671424 in words is "one trillion, two hundred billion, two hundred seventy million, six hundred seventy-one thousand, four hundred twenty-four".