121031040312 has 384 divisors, whose sum is σ = 421927833600. Its totient is φ = 30463589376.

The previous prime is 121031040283. The next prime is 121031040329. The reversal of 121031040312 is 213040130121.

121031040312 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 310 + 40 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116487489 + ... + 116488527.

It is an arithmetic number, because the mean of its divisors is an integer number (1098770400).

Almost surely, 2^121031040312 is an apocalyptic number.

121031040312 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 121031040312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210963916800).

121031040312 is an abundant number, since it is smaller than the sum of its proper divisors (300896793288).

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

121031040312 is a wasteful number, since it uses less digits than its factorization.

121031040312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121031040312 its reverse (213040130121), we get a palindrome (334071170433).

The spelling of 121031040312 in words is "one hundred twenty-one billion, thirty-one million, forty thousand, three hundred twelve".