121111011211110 has 128 divisors (see below), whose sum is σ = 300159813058560. Its totient is φ = 31255184102400.

The previous prime is 121111011211079. The next prime is 121111011211111. The reversal of 121111011211110 is 11112110111121.

It is a happy number.

It is a super-2 number, since 2×121111011211110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121111011211110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111011211111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75539259 + ... + 77125881.

It is an arithmetic number, because the mean of its divisors is an integer number (2344998539520).

Almost surely, 2^{121111011211110} is an apocalyptic number.

121111011211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121111011211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150079906529280).

121111011211110 is an abundant number, since it is smaller than the sum of its proper divisors (179048801847450).

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

121111011211110 is a wasteful number, since it uses less digits than its factorization.

121111011211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587174.

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 121111011211110 its reverse (11112110111121), we get a palindrome (132223121322231).

The spelling of 121111011211110 in words is "one hundred twenty-one trillion, one hundred eleven billion, eleven million, two hundred eleven thousand, one hundred ten".