12123122213000 has 128 divisors (see below), whose sum is σ = 29636881279200. Its totient is φ = 4635675520000.

The previous prime is 12123122212939. The next prime is 12123122213023. The reversal of 12123122213000 is 31222132121.

It can be written as a sum of positive squares in 16 ways, for example, as 483711904036 + 11639410308964 = 695494^2 + 3411658^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 859502 + ... + 4998498.

Almost surely, 2^{12123122213000} is an apocalyptic number.

12123122213000 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 12123122213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818440639600).

12123122213000 is an abundant number, since it is smaller than the sum of its proper divisors (17513759066200).

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

12123122213000 is a wasteful number, since it uses less digits than its factorization.

12123122213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139148 (or 4139134 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12123122213000 its reverse (31222132121), we get a palindrome (12154344345121).

The spelling of 12123122213000 in words is "twelve trillion, one hundred twenty-three billion, one hundred twenty-two million, two hundred thirteen thousand".