1220493312 has 240 divisors, whose sum is σ = 3774758400. Its totient is φ = 389283840.

The previous prime is 1220493311. The next prime is 1220493319. The reversal of 1220493312 is 2133940221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220493311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13713364 + ... + 13713452.

It is an arithmetic number, because the mean of its divisors is an integer number (15728160).

Almost surely, 2^1220493312 is an apocalyptic number.

1220493312 is a gapful number since it is divisible by the number (12) 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 1220493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887379200).

1220493312 is an abundant number, since it is smaller than the sum of its proper divisors (2554265088).

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

1220493312 is an frugal number, since it uses more digits than its factorization.

1220493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1220493312 is about 34935.5594201667. The cubic root of 1220493312 is about 1068.6737321999.

The spelling of 1220493312 in words is "one billion, two hundred twenty million, four hundred ninety-three thousand, three hundred twelve".