12212002091520 has 3840 divisors, whose sum is σ = 57568115404800. Its totient is φ = 2478545879040.

The previous prime is 12212002091491. The next prime is 12212002091533. The reversal of 12212002091520 is 2519020021221.

It is a happy number.

12212002091520 is a `hidden beast` number, since 1 + 22 + 12 + 0 + 0 + 20 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 284000048619 + ... + 284000048661.

It is an arithmetic number, because the mean of its divisors is an integer number (14991696720).

Almost surely, 2^{12212002091520} is an apocalyptic number.

12212002091520 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 12212002091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28784057702400).

12212002091520 is an abundant number, since it is smaller than the sum of its proper divisors (45356113313280).

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

12212002091520 is an frugal number, since it uses more digits than its factorization.

12212002091520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12212002091520 in words is "twelve trillion, two hundred twelve billion, two million, ninety-one thousand, five hundred twenty".