12036435020610 has 256 divisors, whose sum is σ = 38806654279680. Its totient is φ = 2307453788160.

The previous prime is 12036435020587. The next prime is 12036435020611. The reversal of 12036435020610 is 1602053463021.

It is a super-2 number, since 2×12036435020610² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12036435020611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56620579 + ... + 56832761.

It is an arithmetic number, because the mean of its divisors is an integer number (151588493280).

Almost surely, 2^{12036435020610} is an apocalyptic number.

12036435020610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12036435020610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19403327139840).

12036435020610 is an abundant number, since it is smaller than the sum of its proper divisors (26770219259070).

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

12036435020610 is a wasteful number, since it uses less digits than its factorization.

12036435020610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214113.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 12036435020610 its reverse (1602053463021), we get a palindrome (13638488483631).

The spelling of 12036435020610 in words is "twelve trillion, thirty-six billion, four hundred thirty-five million, twenty thousand, six hundred ten".