1220031312000 has 256 divisors, whose sum is σ = 4055482529280. Its totient is φ = 324450508800.

The previous prime is 1220031311977. The next prime is 1220031312037. The reversal of 1220031312000 is 2131300221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17581372 + ... + 17650628.

It is an arithmetic number, because the mean of its divisors is an integer number (15841728630).

Almost surely, 2^{1220031312000} is an apocalyptic number.

1220031312000 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 1220031312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027741264640).

1220031312000 is an abundant number, since it is smaller than the sum of its proper divisors (2835451217280).

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

1220031312000 is an equidigital number, since it uses as much as digits as its factorization.

1220031312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69656 (or 69634 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1220031312000 its reverse (2131300221), we get a palindrome (1222162612221).

The spelling of 1220031312000 in words is "one trillion, two hundred twenty billion, thirty-one million, three hundred twelve thousand".