133123122000 has 320 divisors, whose sum is σ = 520231345920. Its totient is φ = 32272128000.

The previous prime is 133123121941. The next prime is 133123122017. The reversal of 133123122000 is 221321331.

133123122000 is a `hidden beast` number, since 1 + 331 + 2 + 312 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×133123122000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481944 + ... + 706056.

It is an arithmetic number, because the mean of its divisors is an integer number (1625722956).

Almost surely, 2^133123122000 is an apocalyptic number.

133123122000 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 133123122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260115672960).

133123122000 is an abundant number, since it is smaller than the sum of its proper divisors (387108223920).

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

133123122000 is a wasteful number, since it uses less digits than its factorization.

133123122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224156 (or 224134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133123122000 its reverse (221321331), we get a palindrome (133344443331).

The spelling of 133123122000 in words is "one hundred thirty-three billion, one hundred twenty-three million, one hundred twenty-two thousand".