1220231321000 has 64 divisors (see below), whose sum is σ = 3023302585680. Its totient is φ = 459381196800.

The previous prime is 1220231320993. The next prime is 1220231321003. The reversal of 1220231321000 is 1231320221.

It can be written as a sum of positive squares in 8 ways, for example, as 492919134724 + 727312186276 = 702082^2 + 852826^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1220231321000.

It is not an unprimeable number, because it can be changed into a prime (1220231321003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35872157 + ... + 35906156.

Almost surely, 2^{1220231321000} is an apocalyptic number.

1220231321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220231321000 is an abundant number, since it is smaller than the sum of its proper divisors (1803071264680).

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

1220231321000 is a wasteful number, since it uses less digits than its factorization.

1220231321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71778351 (or 71778337 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1220231321000 its reverse (1231320221), we get a palindrome (1221462641221).

The spelling of 1220231321000 in words is "one trillion, two hundred twenty billion, two hundred thirty-one million, three hundred twenty-one thousand".