121001000122000 has 160 divisors (see below), whose sum is σ = 293347024588800. Its totient is φ = 48273668710400.

The previous prime is 121001000121979. The next prime is 121001000122031. The reversal of 121001000122000 is 221000100121.

It is a super-3 number, since 3×121001000122000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 2412900927 + ... + 2412951073.

It is an arithmetic number, because the mean of its divisors is an integer number (1833418903680).

Almost surely, 2^{121001000122000} is an apocalyptic number.

121001000122000 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 121001000122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146673512294400).

121001000122000 is an abundant number, since it is smaller than the sum of its proper divisors (172346024466800).

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

121001000122000 is a wasteful number, since it uses less digits than its factorization.

121001000122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53306 (or 53290 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121001000122000 its reverse (221000100121), we get a palindrome (121222000222121).

The spelling of 121001000122000 in words is "one hundred twenty-one trillion, one billion, one hundred twenty-two thousand".