1220916712401 has 27 divisors (see below), whose sum is σ = 1774632748369. Its totient is φ = 808859490432.

The previous prime is 1220916712373. The next prime is 1220916712409. The reversal of 1220916712401 is 1042176190221.

The square root of 1220916712401 is 1104951.

It is a perfect power (a square), and thus also a powerful number.

1220916712401 is a `hidden beast` number, since 1 + 220 + 9 + 16 + 7 + 12 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59100041025 + 1161816671376 = 243105^2 + 1077876^2 .

It is not a de Polignac number, because 1220916712401 - 2¹³ = 1220916704209 is a prime.

It is a super-2 number, since 2×1220916712401² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1220916712409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 573468505 + ... + 573470633.

Almost surely, 2^{1220916712401} is an apocalyptic number.

1220916712401 is the 1104951-st square number.

1220916712401 is the 552476-th centered octagonal number.

It is an amenable number.

1220916712401 is a deficient number, since it is larger than the sum of its proper divisors (553716035968).

1220916712401 is an frugal number, since it uses more digits than its factorization.

1220916712401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4610 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 1220916712401 by its sum of digits (36), we get a square (43953001646436 = 6629706²).

The spelling of 1220916712401 in words is "one trillion, two hundred twenty billion, nine hundred sixteen million, seven hundred twelve thousand, four hundred one".