221123132233000 has 32 divisors (see below), whose sum is σ = 517428129427560. Its totient is φ = 88449252892800.

The previous prime is 221123132232991. The next prime is 221123132233007. The reversal of 221123132233000 is 332231321122.

It can be written as a sum of positive squares in 4 ways, for example, as 101103789181444 + 120019343051556 = 10055038^2 + 10955334^2 .

It is a super-4 number, since 4×221123132233000⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (221123132233007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110561565117 + ... + 110561567116.

Almost surely, 2^{221123132233000} is an apocalyptic number.

221123132233000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221123132233000 is an abundant number, since it is smaller than the sum of its proper divisors (296304997194560).

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

221123132233000 is a wasteful number, since it uses less digits than its factorization.

221123132233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221123132254 (or 221123132240 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 221123132233000 its reverse (332231321122), we get a palindrome (221455363554122).

The spelling of 221123132233000 in words is "two hundred twenty-one trillion, one hundred twenty-three billion, one hundred thirty-two million, two hundred thirty-three thousand".