1233225170100 has 2016 divisors, whose sum is σ = 5450077839360. Its totient is φ = 234306432000.

The previous prime is 1233225170011. The next prime is 1233225170123. The reversal of 1233225170100 is 10715223321.

1233225170100 is a `hidden beast` number, since 1 + 2 + 332 + 251 + 70 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 3306233514 + ... + 3306233886.

Almost surely, 2^{1233225170100} is an apocalyptic number.

1233225170100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1233225170100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725038919680).

1233225170100 is an abundant number, since it is smaller than the sum of its proper divisors (4216852669260).

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

1233225170100 is a wasteful number, since it uses less digits than its factorization.

1233225170100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 1233225170100 in words is "one trillion, two hundred thirty-three billion, two hundred twenty-five million, one hundred seventy thousand, one hundred".