121101211332312 has 128 divisors (see below), whose sum is σ = 309016020418560. Its totient is φ = 39534782343680.

The previous prime is 121101211332253. The next prime is 121101211332313. The reversal of 121101211332312 is 213233112101121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121101211332313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1796960137 + ... + 1797027527.

It is an arithmetic number, because the mean of its divisors is an integer number (2414187659520).

Almost surely, 2^{121101211332312} is an apocalyptic number.

121101211332312 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 121101211332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154508010209280).

121101211332312 is an abundant number, since it is smaller than the sum of its proper divisors (187914809086248).

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

121101211332312 is a wasteful number, since it uses less digits than its factorization.

121101211332312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69953 (or 69949 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 121101211332312 its reverse (213233112101121), we get a palindrome (334334323433433).

The spelling of 121101211332312 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred eleven million, three hundred thirty-two thousand, three hundred twelve".