1220231331000 has 512 divisors, whose sum is σ = 4763590041600. Its totient is φ = 286269120000.

The previous prime is 1220231330999. The next prime is 1220231331001. The reversal of 1220231331000 is 1331320221.

1220231331000 is a `hidden beast` number, since 122 + 0 + 231 + 3 + 310 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1220231330999) and next prime (1220231331001).

It is a super-2 number, since 2×1220231331000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220231331001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9140734 + ... + 9273266.

It is an arithmetic number, because the mean of its divisors is an integer number (9303886800).

Almost surely, 2^{1220231331000} is an apocalyptic number.

1220231331000 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 1220231331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381795020800).

1220231331000 is an abundant number, since it is smaller than the sum of its proper divisors (3543358710600).

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

1220231331000 is a wasteful number, since it uses less digits than its factorization.

1220231331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132605 (or 132585 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1220231331000 its reverse (1331320221), we get a palindrome (1221562651221).

The spelling of 1220231331000 in words is "one trillion, two hundred twenty billion, two hundred thirty-one million, three hundred thirty-one thousand".