121121121120000 has 360 divisors, whose sum is σ = 408337772448144. Its totient is φ = 31856504832000.

The previous prime is 121121121119983. The next prime is 121121121120017. The reversal of 121121121120000 is 21121121121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121121121119983) and next prime (121121121120017).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33311674 + ... + 36768326.

Almost surely, 2^{121121121120000} is an apocalyptic number.

121121121120000 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 121121121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204168886224072).

121121121120000 is an abundant number, since it is smaller than the sum of its proper divisors (287216651328144).

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

121121121120000 is an frugal number, since it uses more digits than its factorization.

121121121120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456765 (or 3456736 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121121121120000 its reverse (21121121121), we get a palindrome (121142242241121).

The spelling of 121121121120000 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty thousand".