10312221321000 has 256 divisors, whose sum is σ = 35884986508800. Its totient is φ = 2739467808000.

The previous prime is 10312221320971. The next prime is 10312221321097. The reversal of 10312221321000 is 12312221301.

10312221321000 is a `hidden beast` number, since 1 + 0 + 312 + 221 + 32 + 100 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6374890 + ... + 7827110.

It is an arithmetic number, because the mean of its divisors is an integer number (140175728550).

Almost surely, 2^{10312221321000} is an apocalyptic number.

10312221321000 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 10312221321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17942493254400).

10312221321000 is an abundant number, since it is smaller than the sum of its proper divisors (25572765187800).

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

10312221321000 is a wasteful number, since it uses less digits than its factorization.

10312221321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452514 (or 1452494 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10312221321000 its reverse (12312221301), we get a palindrome (10324533542301).

The spelling of 10312221321000 in words is "ten trillion, three hundred twelve billion, two hundred twenty-one million, three hundred twenty-one thousand".