1000312121232 has 120 divisors (see below), whose sum is σ = 2876485220544. Its totient is φ = 324274482432.

The previous prime is 1000312121189. The next prime is 1000312121299. The reversal of 1000312121232 is 2321212130001.

1000312121232 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 312 + 121 + 232 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11694973 + ... + 11780195.

Almost surely, 2^{1000312121232} is an apocalyptic number.

1000312121232 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 1000312121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438242610272).

1000312121232 is an abundant number, since it is smaller than the sum of its proper divisors (1876173099312).

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

1000312121232 is a wasteful number, since it uses less digits than its factorization.

1000312121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87477 (or 87468 counting only the distinct ones).

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

Adding to 1000312121232 its reverse (2321212130001), we get a palindrome (3321524251233).

The spelling of 1000312121232 in words is "one trillion, three hundred twelve million, one hundred twenty-one thousand, two hundred thirty-two".