1000233023220 has 72 divisors (see below), whose sum is σ = 3212513131464. Its totient is φ = 251038875648.

The previous prime is 1000233023173. The next prime is 1000233023221. The reversal of 1000233023220 is 223203320001.

It is a happy number.

1000233023220 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 330 + 2 + 322 + 0 = 666.

1000233023220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28691616996 + 971541406224 = 169386^2 + 985668^2 .

It is a super-2 number, since 2×1000233023220² (a number of 25 digits) contains 22 as substring.

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 = 1000233023193 and 1000233023202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000233023221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163433709 + ... + 163439828.

It is an arithmetic number, because the mean of its divisors is an integer number (44618237937).

Almost surely, 2^{1000233023220} is an apocalyptic number.

1000233023220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000233023220 is an abundant number, since it is smaller than the sum of its proper divisors (2212280108244).

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

1000233023220 is a wasteful number, since it uses less digits than its factorization.

1000233023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326873569 (or 326873564 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1000233023220 its reverse (223203320001), we get a palindrome (1223436343221).

The spelling of 1000233023220 in words is "one trillion, two hundred thirty-three million, twenty-three thousand, two hundred twenty".