1000121010012 has 72 divisors (see below), whose sum is σ = 2557103605056. Its totient is φ = 329568430464.

The previous prime is 1000121009959. The next prime is 1000121010013. The reversal of 1000121010012 is 2100101210001.

It is a happy number.

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 = 1000121009976 and 1000121010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000121010013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664333 + ... + 1562555.

It is an arithmetic number, because the mean of its divisors is an integer number (35515327848).

Almost surely, 2^{1000121010012} is an apocalyptic number.

1000121010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000121010012 is an abundant number, since it is smaller than the sum of its proper divisors (1556982595044).

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

1000121010012 is a wasteful number, since it uses less digits than its factorization.

1000121010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898587 (or 898582 counting only the distinct ones).

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

Adding to 1000121010012 its reverse (2100101210001), we get a palindrome (3100222220013).

The spelling of 1000121010012 in words is "one trillion, one hundred twenty-one million, ten thousand, twelve".