1220988764160 has 1728 divisors, whose sum is σ = 5193904270464. Its totient is φ = 271790899200.

The previous prime is 1220988764153. The next prime is 1220988764179. The reversal of 1220988764160 is 614678890221.

It is a happy number.

1220988764160 is a `hidden beast` number, since 12 + 209 + 8 + 8 + 7 + 6 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1220988764097 and 1220988764106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29780213740 + ... + 29780213780.

It is an arithmetic number, because the mean of its divisors is an integer number (3005731638).

Almost surely, 2^{1220988764160} is an apocalyptic number.

1220988764160 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 1220988764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596952135232).

1220988764160 is an abundant number, since it is smaller than the sum of its proper divisors (3972915506304).

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

1220988764160 is an frugal number, since it uses more digits than its factorization.

1220988764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1220988764160 in words is "one trillion, two hundred twenty billion, nine hundred eighty-eight million, seven hundred sixty-four thousand, one hundred sixty".