121121001120 has 192 divisors, whose sum is σ = 436723612416. Its totient is φ = 27641118720.

The previous prime is 121121001101. The next prime is 121121001173. The reversal of 121121001120 is 21100121121.

It is a super-2 number, since 2×121121001120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121121001096 and 121121001105.

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, 2125642 + ... + 2181878.

It is an arithmetic number, because the mean of its divisors is an integer number (2274602148).

Almost surely, 2^121121001120 is an apocalyptic number.

121121001120 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 121121001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218361806208).

121121001120 is an abundant number, since it is smaller than the sum of its proper divisors (315602611296).

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

121121001120 is a wasteful number, since it uses less digits than its factorization.

121121001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56903 (or 56895 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121121001120 its reverse (21100121121), we get a palindrome (142221122241).

It can be divided in two parts, 121121001 and 120, that added together give a palindrome (121121121).

The spelling of 121121001120 in words is "one hundred twenty-one billion, one hundred twenty-one million, one thousand, one hundred twenty".