121010011122000 has 1280 divisors, whose sum is σ = 529008317300736. Its totient is φ = 22980787200000.

The previous prime is 121010011121983. The next prime is 121010011122017. The reversal of 121010011122000 is 221110010121.

It is an interprime number because it is at equal distance from previous prime (121010011121983) and next prime (121010011122017).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 606506257 + ... + 606705743.

Almost surely, 2^{121010011122000} is an apocalyptic number.

121010011122000 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 121010011122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264504158650368).

121010011122000 is an abundant number, since it is smaller than the sum of its proper divisors (407998306178736).

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

121010011122000 is a wasteful number, since it uses less digits than its factorization.

121010011122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199645 (or 199629 counting only the distinct ones).

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

Adding to 121010011122000 its reverse (221110010121), we get a palindrome (121231121132121).

The spelling of 121010011122000 in words is "one hundred twenty-one trillion, ten billion, eleven million, one hundred twenty-two thousand".