12101465581920 has 1536 divisors, whose sum is σ = 51296681963520. Its totient is φ = 2625232896000.

The previous prime is 12101465581883. The next prime is 12101465581957. The reversal of 12101465581920 is 2918556410121.

12101465581920 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 1 + 4 + 6 + 558 + 1 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12101465581883) and next prime (12101465581957).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4229801290 + ... + 4229804150.

It is an arithmetic number, because the mean of its divisors is an integer number (33396277320).

Almost surely, 2^{12101465581920} is an apocalyptic number.

12101465581920 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 12101465581920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25648340981760).

12101465581920 is an abundant number, since it is smaller than the sum of its proper divisors (39195216381600).

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

12101465581920 is a wasteful number, since it uses less digits than its factorization.

12101465581920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 12101465581920 in words is "twelve trillion, one hundred one billion, four hundred sixty-five million, five hundred eighty-one thousand, nine hundred twenty".