1200739612800 has 384 divisors, whose sum is σ = 4867617202560. Its totient is φ = 253342679040.

The previous prime is 1200739612771. The next prime is 1200739612801. The reversal of 1200739612800 is 82169370021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1200739612801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186364 + ... + 1560836.

It is an arithmetic number, because the mean of its divisors is an integer number (12676086465).

Almost surely, 2^{1200739612800} is an apocalyptic number.

1200739612800 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 1200739612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433808601280).

1200739612800 is an abundant number, since it is smaller than the sum of its proper divisors (3666877589760).

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

1200739612800 is a wasteful number, since it uses less digits than its factorization.

1200739612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374520 (or 1374503 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 1200739612800 in words is "one trillion, two hundred billion, seven hundred thirty-nine million, six hundred twelve thousand, eight hundred".