1023122203200 has 126 divisors (see below), whose sum is σ = 3636417931874. Its totient is φ = 272832583680.

The previous prime is 1023122203183. The next prime is 1023122203211. The reversal of 1023122203200 is 23022213201.

1023122203200 is a `hidden beast` number, since 10 + 2 + 312 + 2 + 20 + 320 + 0 = 666.

1023122203200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 65417269824 + 957704933376 = 255768^2 + 978624^2 .

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 17 ways as a sum of consecutive naturals, for example, 35510677 + ... + 35539476.

Almost surely, 2^{1023122203200} is an apocalyptic number.

1023122203200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023122203200 is an abundant number, since it is smaller than the sum of its proper divisors (2613295728674).

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

1023122203200 is a wasteful number, since it uses less digits than its factorization.

1023122203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71050181 (or 71050163 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1023122203200 its reverse (23022213201), we get a palindrome (1046144416401).

The spelling of 1023122203200 in words is "one trillion, twenty-three billion, one hundred twenty-two million, two hundred three thousand, two hundred".