1233121100032 has 144 divisors (see below), whose sum is σ = 2754106367040. Its totient is φ = 547602038784.

The previous prime is 1233121100021. The next prime is 1233121100039. The reversal of 1233121100032 is 2300011213321.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 1233121099982 and 1233121100009.

It is not an unprimeable number, because it can be changed into a prime (1233121100039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21221803 + ... + 21279829.

It is an arithmetic number, because the mean of its divisors is an integer number (19125738660).

Almost surely, 2^{1233121100032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1233121100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377053183520).

1233121100032 is an abundant number, since it is smaller than the sum of its proper divisors (1520985267008).

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

1233121100032 is a wasteful number, since it uses less digits than its factorization.

1233121100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58336 (or 58322 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1233121100032 its reverse (2300011213321), we get a palindrome (3533132313353).

The spelling of 1233121100032 in words is "one trillion, two hundred thirty-three billion, one hundred twenty-one million, one hundred thousand, thirty-two".