1220496076800 has 3744 divisors, whose sum is σ = 6211110796800. Its totient is φ = 234101145600.

The previous prime is 1220496076697. The next prime is 1220496076831. The reversal of 1220496076800 is 86706940221.

It is a happy number.

1220496076800 is a `hidden beast` number, since 12 + 2 + 0 + 496 + 0 + 76 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-2 number, since 2×1220496076800² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93884313594 + ... + 93884313606.

Almost surely, 2^{1220496076800} is an apocalyptic number.

1220496076800 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 1220496076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105555398400).

1220496076800 is an abundant number, since it is smaller than the sum of its proper divisors (4990614720000).

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

1220496076800 is an equidigital number, since it uses as much as digits as its factorization.

1220496076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1220496076800 in words is "one trillion, two hundred twenty billion, four hundred ninety-six million, seventy-six thousand, eight hundred".