1023011122320 has 120 divisors (see below), whose sum is σ = 3747940777152. Its totient is φ = 248002694400.

The previous prime is 1023011122171. The next prime is 1023011122321. The reversal of 1023011122320 is 232211103201.

1023011122320 is a `hidden beast` number, since 1 + 0 + 230 + 1 + 112 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1023011122293 and 1023011122302.

It is not an unprimeable number, because it can be changed into a prime (1023011122321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64576116 + ... + 64591955.

Almost surely, 2^{1023011122320} is an apocalyptic number.

1023011122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023011122320 is an abundant number, since it is smaller than the sum of its proper divisors (2724929654832).

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

1023011122320 is a wasteful number, since it uses less digits than its factorization.

1023011122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129168101 (or 129168092 counting only the distinct ones).

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

Adding to 1023011122320 its reverse (232211103201), we get a palindrome (1255222225521).

The spelling of 1023011122320 in words is "one trillion, twenty-three billion, eleven million, one hundred twenty-two thousand, three hundred twenty".