121120111100000 has 144 divisors (see below), whose sum is σ = 298146579116400. Its totient is φ = 48432336960000.

The previous prime is 121120111099963. The next prime is 121120111100003. The reversal of 121120111100000 is 1111021121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120111100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310705211 + ... + 311094789.

It is an arithmetic number, because the mean of its divisors is an integer number (2070462354975).

Almost surely, 2^{121120111100000} is an apocalyptic number.

121120111100000 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 121120111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149073289558200).

121120111100000 is an abundant number, since it is smaller than the sum of its proper divisors (177026468016400).

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

121120111100000 is an frugal number, since it uses more digits than its factorization.

121120111100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392723 (or 392695 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121120111100000 its reverse (1111021121), we get a palindrome (121121222121121).

The spelling of 121120111100000 in words is "one hundred twenty-one trillion, one hundred twenty billion, one hundred eleven million, one hundred thousand".