121364012000 has 192 divisors, whose sum is σ = 371772011520. Its totient is φ = 37827648000.

The previous prime is 121364011961. The next prime is 121364012053. The reversal of 121364012000 is 210463121.

It is a super-2 number, since 2×121364012000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 110981 + ... + 505019.

It is an arithmetic number, because the mean of its divisors is an integer number (1936312560).

Almost surely, 2^121364012000 is an apocalyptic number.

121364012000 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 121364012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185886005760).

121364012000 is an abundant number, since it is smaller than the sum of its proper divisors (250407999520).

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

121364012000 is a wasteful number, since it uses less digits than its factorization.

121364012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394082 (or 394064 counting only the distinct ones).

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

Adding to 121364012000 its reverse (210463121), we get a palindrome (121574475121).

The spelling of 121364012000 in words is "one hundred twenty-one billion, three hundred sixty-four million, twelve thousand".