121110000011000 has 1152 divisors, whose sum is σ = 389358000420480. Its totient is φ = 34495718400000.

The previous prime is 121110000010973. The next prime is 121110000011027. The reversal of 121110000011000 is 110000011121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121110000010973) and next prime (121110000011027).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14457438812 + ... + 14457447188.

It is an arithmetic number, because the mean of its divisors is an integer number (337984375365).

Almost surely, 2^{121110000011000} is an apocalyptic number.

121110000011000 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 121110000011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194679000210240).

121110000011000 is an abundant number, since it is smaller than the sum of its proper divisors (268248000409480).

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

121110000011000 is a wasteful number, since it uses less digits than its factorization.

121110000011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8554 (or 8516 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 121110000011000 its reverse (110000011121), we get a palindrome (121220000022121).

The spelling of 121110000011000 in words is "one hundred twenty-one trillion, one hundred ten billion, eleven thousand".