10312121121012 has 18 divisors (see below), whose sum is σ = 26066750611538. Its totient is φ = 3437373706992.

The previous prime is 10312121120963. The next prime is 10312121121047. The reversal of 10312121121012 is 21012112121301.

It is a happy number.

10312121121012 is a `hidden beast` number, since 10 + 312 + 121 + 1 + 210 + 12 = 666.

10312121121012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9463227927696 + 848893193316 = 3076236^2 + 921354^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 5 ways as a sum of consecutive naturals, for example, 143223904423 + ... + 143223904494.

Almost surely, 2^{10312121121012} is an apocalyptic number.

10312121121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10312121121012 is an abundant number, since it is smaller than the sum of its proper divisors (15754629490526).

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

10312121121012 is a wasteful number, since it uses less digits than its factorization.

10312121121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286447808927 (or 286447808922 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10312121121012 its reverse (21012112121301), we get a palindrome (31324233242313).

The spelling of 10312121121012 in words is "ten trillion, three hundred twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, twelve".