121010010111200 has 288 divisors, whose sum is σ = 340248152724480. Its totient is φ = 41166022809600.

The previous prime is 121010010111187. The next prime is 121010010111239. The reversal of 121010010111200 is 2111010010121.

It is a super-2 number, since 2×121010010111200² (a number of 29 digits) contains 22 as substring.

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, 9235283849 + ... + 9235296951.

It is an arithmetic number, because the mean of its divisors is an integer number (1181417196960).

Almost surely, 2^{121010010111200} is an apocalyptic number.

121010010111200 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 121010010111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170124076362240).

121010010111200 is an abundant number, since it is smaller than the sum of its proper divisors (219238142613280).

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

121010010111200 is a wasteful number, since it uses less digits than its factorization.

121010010111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25850 (or 25837 counting only the distinct ones).

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

Adding to 121010010111200 its reverse (2111010010121), we get a palindrome (123121020121321).

The spelling of 121010010111200 in words is "one hundred twenty-one trillion, ten billion, ten million, one hundred eleven thousand, two hundred".