12101029120 has 72 divisors (see below), whose sum is σ = 29007659016. Its totient is φ = 4836753408.

The previous prime is 12101029103. The next prime is 12101029159. The reversal of 12101029120 is 2192010121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1037355264 + 11063673856 = 32208^2 + 105184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2241144 + ... + 2246536.

It is an arithmetic number, because the mean of its divisors is an integer number (402884153).

Almost surely, 2^12101029120 is an apocalyptic number.

12101029120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503829508).

12101029120 is an abundant number, since it is smaller than the sum of its proper divisors (16906629896).

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

12101029120 is an equidigital number, since it uses as much as digits as its factorization.

12101029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7167 (or 7153 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 12101029120 its reverse (2192010121), we get a palindrome (14293039241).

It can be divided in two parts, 1210 and 1029120, that added together give a triangular number (1030330 = T₁₄₃₅).

The spelling of 12101029120 in words is "twelve billion, one hundred one million, twenty-nine thousand, one hundred twenty".