122123021031000 has 1024 divisors, whose sum is σ = 464876539545600. Its totient is φ = 29411831808000.

The previous prime is 122123021030987. The next prime is 122123021031001. The reversal of 122123021031000 is 130120321221.

122123021031000 is a `hidden beast` number, since 1 + 22 + 123 + 0 + 210 + 310 + 0 + 0 = 666.

122123021031000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122123021031000² (a number of 29 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 not an unprimeable number, because it can be changed into a prime (122123021031001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81797066254 + ... + 81797067746.

It is an arithmetic number, because the mean of its divisors is an integer number (453980995650).

Almost surely, 2^{122123021031000} is an apocalyptic number.

122123021031000 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 122123021031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232438269772800).

122123021031000 is an abundant number, since it is smaller than the sum of its proper divisors (342753518514600).

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

122123021031000 is a wasteful number, since it uses less digits than its factorization.

122123021031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122123021031000 its reverse (130120321221), we get a palindrome (122253141352221).

The spelling of 122123021031000 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, twenty-one million, thirty-one thousand".