10420233120 has 192 divisors, whose sum is σ = 39786526080. Its totient is φ = 2526105600.

The previous prime is 10420233071. The next prime is 10420233127. The reversal of 10420233120 is 2133202401.

10420233120 is a `hidden beast` number, since 1 + 0 + 420 + 233 + 12 + 0 = 666.

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 = 10420233093 and 10420233102.

It is not an unprimeable number, because it can be changed into a prime (10420233127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62121 + ... + 157160.

It is an arithmetic number, because the mean of its divisors is an integer number (207221490).

Almost surely, 2^10420233120 is an apocalyptic number.

10420233120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10420233120 is an abundant number, since it is smaller than the sum of its proper divisors (29366292960).

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

10420233120 is a wasteful number, since it uses less digits than its factorization.

10420233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219316 (or 219302 counting only the distinct ones).

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

Adding to 10420233120 its reverse (2133202401), we get a palindrome (12553435521).

The spelling of 10420233120 in words is "ten billion, four hundred twenty million, two hundred thirty-three thousand, one hundred twenty".