2233121431002 has 256 divisors, whose sum is σ = 5668368076800. Its totient is φ = 569729064960.

The previous prime is 2233121430977. The next prime is 2233121431061. The reversal of 2233121431002 is 2001341213322.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4781844373 + ... + 4781844839.

It is an arithmetic number, because the mean of its divisors is an integer number (22142062800).

Almost surely, 2^{2233121431002} is an apocalyptic number.

2233121431002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233121431002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834184038400).

2233121431002 is an abundant number, since it is smaller than the sum of its proper divisors (3435246645798).

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

2233121431002 is a wasteful number, since it uses less digits than its factorization.

2233121431002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221.

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

Adding to 2233121431002 its reverse (2001341213322), we get a palindrome (4234462644324).

The spelling of 2233121431002 in words is "two trillion, two hundred thirty-three billion, one hundred twenty-one million, four hundred thirty-one thousand, two".