123121311222000 has 1280 divisors, whose sum is σ = 505084648513536. Its totient is φ = 25107148800000.

The previous prime is 123121311221971. The next prime is 123121311222017. The reversal of 123121311222000 is 222113121321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3050481820 + ... + 3050522180.

Almost surely, 2^{123121311222000} is an apocalyptic number.

123121311222000 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 123121311222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252542324256768).

123121311222000 is an abundant number, since it is smaller than the sum of its proper divisors (381963337291536).

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

123121311222000 is a wasteful number, since it uses less digits than its factorization.

123121311222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40595 (or 40579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 123121311222000 its reverse (222113121321), we get a palindrome (123343424343321).

The spelling of 123121311222000 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, three hundred eleven million, two hundred twenty-two thousand".