1010123022312 has 24 divisors (see below), whose sum is σ = 2735749852290. Its totient is φ = 336707674080.

The previous prime is 1010123022283. The next prime is 1010123022329. The reversal of 1010123022312 is 2132203210101.

1010123022312 is a `hidden beast` number, since 1 + 0 + 101 + 230 + 22 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 543325255236 + 466797767076 = 737106^2 + 683226^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×1010123022312⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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 (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7014743139 + ... + 7014743282.

Almost surely, 2^{1010123022312} is an apocalyptic number.

1010123022312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010123022312 is an abundant number, since it is smaller than the sum of its proper divisors (1725626829978).

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

1010123022312 is a wasteful number, since it uses less digits than its factorization.

1010123022312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14029486433 (or 14029486426 counting only the distinct ones).

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

Adding to 1010123022312 its reverse (2132203210101), we get a palindrome (3142326232413).

The spelling of 1010123022312 in words is "one trillion, ten billion, one hundred twenty-three million, twenty-two thousand, three hundred twelve".