121122113310000 has 1200 divisors, whose sum is σ = 480307688340480. Its totient is φ = 28224426240000.

The previous prime is 121122113309987. The next prime is 121122113310017. The reversal of 121122113310000 is 13311221121.

121122113310000 is a `hidden beast` number, since 1 + 211 + 221 + 133 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×121122113310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3040270081 + ... + 3040309919.

Almost surely, 2^{121122113310000} is an apocalyptic number.

121122113310000 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 121122113310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240153844170240).

121122113310000 is an abundant number, since it is smaller than the sum of its proper divisors (359185575030480).

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

121122113310000 is a wasteful number, since it uses less digits than its factorization.

121122113310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40004 (or 39980 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121122113310000 its reverse (13311221121), we get a palindrome (121135424531121).

The spelling of 121122113310000 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred thirteen million, three hundred ten thousand".