121010001000012 has 36 divisors (see below), whose sum is σ = 306013897425600. Its totient is φ = 40319853020832.

The previous prime is 121010001000011. The next prime is 121010001000029. The reversal of 121010001000012 is 210000100010121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121010000999958 and 121010001000003.

It is not an unprimeable number, because it can be changed into a prime (121010001000011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700494903 + ... + 700667630.

It is an arithmetic number, because the mean of its divisors is an integer number (8500386039600).

Almost surely, 2^{121010001000012} is an apocalyptic number.

121010001000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121010001000012 is an abundant number, since it is smaller than the sum of its proper divisors (185003896425588).

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

121010001000012 is a wasteful number, since it uses less digits than its factorization.

121010001000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401164942 (or 1401164937 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121010001000012 its reverse (210000100010121), we get a palindrome (331010101010133).

The spelling of 121010001000012 in words is "one hundred twenty-one trillion, ten billion, one million, twelve", and thus it is an aban number.