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12220012002020 = 2254186533172217
BaseRepresentation
bin1011000111010011000101…
…1110010111101011100100
31121021012222122110211012212
42301310301132113223210
53100203041033031040
641553443534502552
72400603201121514
oct261646136275344
947235878424185
1012220012002020
113991529222349
1214543a1364a58
136a845aa29574
143036477cb844
15162d0d1d1d65
hexb1d31797ae4

12220012002020 has 48 divisors (see below), whose sum is σ = 26288384694768. Its totient is φ = 4768702371840.

The previous prime is 12220012001993. The next prime is 12220012002041. The reversal of 12220012002020 is 2020021002221.

It can be written as a sum of positive squares in 8 ways, for example, as 8523690455296 + 3696321546724 = 2919536^2 + 1922582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12220012001986 and 12220012002004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70870952 + ... + 71043168.

It is an arithmetic number, because the mean of its divisors is an integer number (547674681141).

Almost surely, 212220012002020 is an apocalyptic number.

12220012002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220012002020 is an abundant number, since it is smaller than the sum of its proper divisors (14068372692748).

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

12220012002020 is a wasteful number, since it uses less digits than its factorization.

12220012002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258800 (or 258798 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12220012002020 its reverse (2020021002221), we get a palindrome (14240033004241).

The spelling of 12220012002020 in words is "twelve trillion, two hundred twenty billion, twelve million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 86533 172217 173066 344434 346132 432665 688868 861085 865330 1722170 1730660 3444340 3547853 7060897 7095706 14121794 14191412 17739265 28243588 35304485 35478530 70608970 70957060 141217940 14902453661 29804907322 59609814644 74512268305 149024536610 298049073220 611000600101 1222001200202 2444002400404 3055003000505 6110006001010 12220012002020