122121212301000 has 512 divisors, whose sum is σ = 470554248153600. Its totient is φ = 29046551040000.

The previous prime is 122121212300959. The next prime is 122121212301079. The reversal of 122121212301000 is 103212121221.

122121212301000 is a `hidden beast` number, since 1 + 2 + 212 + 121 + 230 + 100 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11861920 + ... + 19620080.

It is an arithmetic number, because the mean of its divisors is an integer number (919051265925).

Almost surely, 2^{122121212301000} is an apocalyptic number.

122121212301000 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 122121212301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235277124076800).

122121212301000 is an abundant number, since it is smaller than the sum of its proper divisors (348433035852600).

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

122121212301000 is a wasteful number, since it uses less digits than its factorization.

122121212301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7758255 (or 7758235 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122121212301000 its reverse (103212121221), we get a palindrome (122224424422221).

The spelling of 122121212301000 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred twelve million, three hundred one thousand".