121111120000 has 320 divisors, whose sum is σ = 328189914360. Its totient is φ = 44236800000.

The previous prime is 121111119979. The next prime is 121111120003. The reversal of 121111120000 is 21111121.

It can be written as a sum of positive squares in 20 ways, for example, as 20490204736 + 100620915264 = 143144^2 + 317208^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (121111120003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105039424 + ... + 105040576.

Almost surely, 2^121111120000 is an apocalyptic number.

121111120000 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 121111120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164094957180).

121111120000 is an abundant number, since it is smaller than the sum of its proper divisors (207078794360).

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

121111120000 is a wasteful number, since it uses less digits than its factorization.

121111120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 121111120000 its reverse (21111121), we get a palindrome (121132231121).

The spelling of 121111120000 in words is "one hundred twenty-one billion, one hundred eleven million, one hundred twenty thousand".