1200757893930 has 256 divisors, whose sum is σ = 3922559032320. Its totient is φ = 258313743360.

The previous prime is 1200757893871. The next prime is 1200757893931. The reversal of 1200757893930 is 393987570021.

1200757893930 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 578 + 9 + 39 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1200757893931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2371840 + ... + 2833220.

It is an arithmetic number, because the mean of its divisors is an integer number (15322496220).

Almost surely, 2^{1200757893930} is an apocalyptic number.

1200757893930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200757893930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961279516160).

1200757893930 is an abundant number, since it is smaller than the sum of its proper divisors (2721801138390).

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

1200757893930 is an equidigital number, since it uses as much as digits as its factorization.

1200757893930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461433 (or 461415 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 1200757893930 in words is "one trillion, two hundred billion, seven hundred fifty-seven million, eight hundred ninety-three thousand, nine hundred thirty".