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12442113242020 = 225711471011701979
BaseRepresentation
bin1011010100001110011110…
…1111010111001110100100
31122001110021021010211100201
42311003213233113032210
53112322421442221040
642243454455120244
72422625110402540
oct265034757271644
948043237124321
1012442113242020
113a67741618250
12148b446673084
136c3394b56737
143102b6c84a20
151689abad1a9a
hexb50e7bd73a4

12442113242020 has 192 divisors, whose sum is σ = 33598228930560. Its totient is φ = 3757967424000.

The previous prime is 12442113241981. The next prime is 12442113242033. The reversal of 12442113242020 is 2024231124421.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12442113242020.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6459391 + ... + 8161369.

It is an arithmetic number, because the mean of its divisors is an integer number (174990775680).

Almost surely, 212442113242020 is an apocalyptic number.

12442113242020 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 12442113242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16799114465280).

12442113242020 is an abundant number, since it is smaller than the sum of its proper divisors (21156115688540).

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

12442113242020 is a wasteful number, since it uses less digits than its factorization.

12442113242020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702154 (or 1702152 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 12442113242020 its reverse (2024231124421), we get a palindrome (14466344366441).

The spelling of 12442113242020 in words is "twelve trillion, four hundred forty-two billion, one hundred thirteen million, two hundred forty-two thousand, twenty".