32233412100120 has 768 divisors, whose sum is σ = 123193697402880. Its totient is φ = 6553430553600.

The previous prime is 32233412100073. The next prime is 32233412100151. The reversal of 32233412100120 is 2100121433223.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12675347569 + ... + 12675350111.

It is an arithmetic number, because the mean of its divisors is an integer number (160408460160).

Almost surely, 2^{32233412100120} is an apocalyptic number.

32233412100120 is a gapful number since it is divisible by the number (30) 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 32233412100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61596848701440).

32233412100120 is an abundant number, since it is smaller than the sum of its proper divisors (90960285302760).

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

32233412100120 is a wasteful number, since it uses less digits than its factorization.

32233412100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32233412100120 its reverse (2100121433223), we get a palindrome (34333533533343).

The spelling of 32233412100120 in words is "thirty-two trillion, two hundred thirty-three billion, four hundred twelve million, one hundred thousand, one hundred twenty".