121210002121120 has 144 divisors (see below), whose sum is σ = 314977554649800. Its totient is φ = 44045596221440.

The previous prime is 121210002121097. The next prime is 121210002121123. The reversal of 121210002121120 is 21121200012121.

It can be written as a sum of positive squares in 4 ways, for example, as 97911579120784 + 23298423000336 = 9895028^2 + 4826844^2 .

It is a super-2 number, since 2×121210002121120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121210002121094 and 121210002121103.

It is not an unprimeable number, because it can be changed into a prime (121210002121123) 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, 25558356 + ... + 29927404.

Almost surely, 2^{121210002121120} is an apocalyptic number.

121210002121120 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 121210002121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157488777324900).

121210002121120 is an abundant number, since it is smaller than the sum of its proper divisors (193767552528680).

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

121210002121120 is a wasteful number, since it uses less digits than its factorization.

121210002121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370519 (or 4370500 counting only the distinct ones).

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

Adding to 121210002121120 its reverse (21121200012121), we get a palindrome (142331202133241).

The spelling of 121210002121120 in words is "one hundred twenty-one trillion, two hundred ten billion, two million, one hundred twenty-one thousand, one hundred twenty".