1201199621760 has 768 divisors, whose sum is σ = 4576011148800. Its totient is φ = 300058214400.

The previous prime is 1201199621749. The next prime is 1201199621761. The reversal of 1201199621760 is 671269911021.

1201199621760 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 19 + 9 + 621 + 7 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1201199621761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 631876810 + ... + 631878710.

It is an arithmetic number, because the mean of its divisors is an integer number (5958347850).

Almost surely, 2^{1201199621760} is an apocalyptic number.

1201199621760 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 1201199621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288005574400).

1201199621760 is an abundant number, since it is smaller than the sum of its proper divisors (3374811527040).

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

1201199621760 is a wasteful number, since it uses less digits than its factorization.

1201199621760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1201199621760 in words is "one trillion, two hundred one billion, one hundred ninety-nine million, six hundred twenty-one thousand, seven hundred sixty".