121100011344312 has 512 divisors, whose sum is σ = 417811206758400. Its totient is φ = 28227539404800.

The previous prime is 121100011344283. The next prime is 121100011344371. The reversal of 121100011344312 is 213443110001121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1119055887 + ... + 1119164097.

It is an arithmetic number, because the mean of its divisors is an integer number (816037513200).

Almost surely, 2^{121100011344312} is an apocalyptic number.

121100011344312 is a gapful number since it is divisible by the number (12) 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 121100011344312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208905603379200).

121100011344312 is an abundant number, since it is smaller than the sum of its proper divisors (296711195414088).

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

121100011344312 is a wasteful number, since it uses less digits than its factorization.

121100011344312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109547 (or 109543 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 121100011344312 its reverse (213443110001121), we get a palindrome (334543121345433).

The spelling of 121100011344312 in words is "one hundred twenty-one trillion, one hundred billion, eleven million, three hundred forty-four thousand, three hundred twelve".