121001211220120 has 192 divisors, whose sum is σ = 346618658453760. Its totient is φ = 37591812115200.

The previous prime is 121001211220093. The next prime is 121001211220151. The reversal of 121001211220120 is 21022112100121.

It is a junction number, because it is equal to n+sod(n) for n = 121001211220094 and 121001211220103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2521636 + ... + 15759475.

It is an arithmetic number, because the mean of its divisors is an integer number (1805305512780).

Almost surely, 2^{121001211220120} is an apocalyptic number.

121001211220120 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 121001211220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173309329226880).

121001211220120 is an abundant number, since it is smaller than the sum of its proper divisors (225617447233640).

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

121001211220120 is a wasteful number, since it uses less digits than its factorization.

121001211220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18281454 (or 18281443 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121001211220120 its reverse (21022112100121), we get a palindrome (142023323320241).

The spelling of 121001211220120 in words is "one hundred twenty-one trillion, one billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty".