1023312122144 has 48 divisors (see below), whose sum is σ = 2188818753912. Its totient is φ = 468118253568.

The previous prime is 1023312122113. The next prime is 1023312122207. The reversal of 1023312122144 is 4412212133201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 105892969744 + 917419152400 = 325412^2 + 957820^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10837439 + ... + 10931454.

Almost surely, 2^{1023312122144} is an apocalyptic number.

It is an amenable number.

1023312122144 is an abundant number, since it is smaller than the sum of its proper divisors (1165506631768).

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

1023312122144 is a wasteful number, since it uses less digits than its factorization.

1023312122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21769029 (or 21769021 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1023312122144 its reverse (4412212133201), we get a palindrome (5435524255345).

The spelling of 1023312122144 in words is "one trillion, twenty-three billion, three hundred twelve million, one hundred twenty-two thousand, one hundred forty-four".