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12201202002024 = 23327434091376513
BaseRepresentation
bin1011000110001101000001…
…0011111010100001101000
31121012102102202010211002100
42301203100103322201220
53044401030203031044
641541053235133400
72366336105553420
oct261432023724150
947172382124070
1012201202002024
113984556499a02
121450811a44260
136a6750a54559
14302781591480
151625abb78869
hexb18d04fa868

12201202002024 has 192 divisors, whose sum is σ = 38738407593600. Its totient is φ = 3396658987008.

The previous prime is 12201202002013. The next prime is 12201202002049. The reversal of 12201202002024 is 42020020210221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12201202001988 and 12201202002006.

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 47 ways as a sum of consecutive naturals, for example, 8175592 + ... + 9552104.

It is an arithmetic number, because the mean of its divisors is an integer number (201762539550).

Almost surely, 212201202002024 is an apocalyptic number.

12201202002024 is a gapful number since it is divisible by the number (14) 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 12201202002024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19369203796800).

12201202002024 is an abundant number, since it is smaller than the sum of its proper divisors (26537205591576).

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

12201202002024 is a wasteful number, since it uses less digits than its factorization.

12201202002024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376984 (or 1376977 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12201202002024 its reverse (42020020210221), we get a palindrome (54221222212245).

The spelling of 12201202002024 in words is "twelve trillion, two hundred one billion, two hundred two million, two thousand, twenty-four".