1201219884960 has 384 divisors, whose sum is σ = 4006578401280. Its totient is φ = 301904486400.

The previous prime is 1201219884883. The next prime is 1201219884973. The reversal of 1201219884960 is 694889121021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305574195 + ... + 305578125.

It is an arithmetic number, because the mean of its divisors is an integer number (10433797920).

Almost surely, 2^{1201219884960} is an apocalyptic number.

1201219884960 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 1201219884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003289200640).

1201219884960 is an abundant number, since it is smaller than the sum of its proper divisors (2805358516320).

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

1201219884960 is a wasteful number, since it uses less digits than its factorization.

1201219884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The spelling of 1201219884960 in words is "one trillion, two hundred one billion, two hundred nineteen million, eight hundred eighty-four thousand, nine hundred sixty".