1201983249600 has 756 divisors, whose sum is σ = 4984037716944. Its totient is φ = 273942466560.

The previous prime is 1201983249587. The next prime is 1201983249611. The reversal of 1201983249600 is 69423891021.

1201983249600 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 9 + 8 + 32 + 4 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 263186517 + ... + 263191083.

Almost surely, 2^{1201983249600} is an apocalyptic number.

1201983249600 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 1201983249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492018858472).

1201983249600 is an abundant number, since it is smaller than the sum of its proper divisors (3782054467344).

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

1201983249600 is a wasteful number, since it uses less digits than its factorization.

1201983249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1201983249600 in words is "one trillion, two hundred one billion, nine hundred eighty-three million, two hundred forty-nine thousand, six hundred".