1200975703200 has 2304 divisors, whose sum is σ = 5725073571840. Its totient is φ = 235773296640.

The previous prime is 1200975703199. The next prime is 1200975703211. The reversal of 1200975703200 is 23075790021.

It is a super-3 number, since 3×1200975703200³ (a number of 37 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4243730259 + ... + 4243730541.

It is an arithmetic number, because the mean of its divisors is an integer number (2484840960).

Almost surely, 2^{1200975703200} is an apocalyptic number.

1200975703200 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 1200975703200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862536785920).

1200975703200 is an abundant number, since it is smaller than the sum of its proper divisors (4524097868640).

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

1200975703200 is a wasteful number, since it uses less digits than its factorization.

1200975703200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 1200975703200 in words is "one trillion, two hundred billion, nine hundred seventy-five million, seven hundred three thousand, two hundred".