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12202102013220 = 2232571710114873793
BaseRepresentation
bin1011000110010000010111…
…1101001011110100100100
31121012111202110200010100100
42301210011331023310210
53044404401103410340
641541322425344100
72366400314536650
oct261440575136444
947174673603310
1012202102013220
113984978529709
121450a23338030
136a6865353062
14302828d11a60
15162610ba8830
hexb1905f4bd24

12202102013220 has 576 divisors, whose sum is σ = 45274698233856. Its totient is φ = 2596567449600.

The previous prime is 12202102013219. The next prime is 12202102013239. The reversal of 12202102013220 is 2231020120221.

12202102013220 is a `hidden beast` number, since 1 + 220 + 21 + 0 + 201 + 3 + 220 = 666.

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 = 12202102013193 and 12202102013202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3217003644 + ... + 3217007436.

It is an arithmetic number, because the mean of its divisors is an integer number (78601906656).

Almost surely, 212202102013220 is an apocalyptic number.

12202102013220 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 12202102013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22637349116928).

12202102013220 is an abundant number, since it is smaller than the sum of its proper divisors (33072596220636).

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

12202102013220 is a wasteful number, since it uses less digits than its factorization.

12202102013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12202102013220 its reverse (2231020120221), we get a palindrome (14433122133441).

The spelling of 12202102013220 in words is "twelve trillion, two hundred two billion, one hundred two million, thirteen thousand, two hundred twenty".