12101022434000 has 80 divisors (see below), whose sum is σ = 29812353114960. Its totient is φ = 4749080460800.

The previous prime is 12101022433957. The next prime is 12101022434009. The reversal of 12101022434000 is 43422010121.

It can be written as a sum of positive squares in 8 ways, for example, as 2070398676544 + 10030623757456 = 1438888^2 + 3167116^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101022434009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56974295 + ... + 57186294.

It is an arithmetic number, because the mean of its divisors is an integer number (372654413937).

Almost surely, 2^{12101022434000} is an apocalyptic number.

12101022434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101022434000 is an abundant number, since it is smaller than the sum of its proper divisors (17711330680960).

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

12101022434000 is a wasteful number, since it uses less digits than its factorization.

12101022434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114160665 (or 114160649 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12101022434000 its reverse (43422010121), we get a palindrome (12144444444121).

The spelling of 12101022434000 in words is "twelve trillion, one hundred one billion, twenty-two million, four hundred thirty-four thousand".