1220961841920 has 1152 divisors, whose sum is σ = 4705019827200. Its totient is φ = 299129241600.

The previous prime is 1220961841843. The next prime is 1220961841951. The reversal of 1220961841920 is 291481690221.

It is a happy number.

1220961841920 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 9 + 618 + 4 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1766948775 + ... + 1766949465.

It is an arithmetic number, because the mean of its divisors is an integer number (4084218600).

Almost surely, 2^{1220961841920} is an apocalyptic number.

1220961841920 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 1220961841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352509913600).

1220961841920 is an abundant number, since it is smaller than the sum of its proper divisors (3484057985280).

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

1220961841920 is a wasteful number, since it uses less digits than its factorization.

1220961841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1220961841920 in words is "one trillion, two hundred twenty billion, nine hundred sixty-one million, eight hundred forty-one thousand, nine hundred twenty".