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2220301320012 = 2232412311650917
BaseRepresentation
bin100000010011110100010…
…001010111111101001100
321212020222121122110001200
4200103310101113331030
5242334134114220022
64415554202505500
7316261064553666
oct40236421277514
97766877573050
102220301320012
11786696237206
122ba386505290
131314b17cba29
147966ac91536
153cb4d88cbac
hex204f4457f4c

2220301320012 has 72 divisors (see below), whose sum is σ = 5751813473952. Its totient is φ = 721735660800.

The previous prime is 2220301320011. The next prime is 2220301320043. The reversal of 2220301320012 is 2100231030222.

2220301320012 is a `hidden beast` number, since 22 + 20 + 301 + 320 + 0 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2220301320011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3085578 + ... + 3736494.

Almost surely, 22220301320012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220301320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875906736976).

2220301320012 is an abundant number, since it is smaller than the sum of its proper divisors (3531512153940).

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

2220301320012 is a wasteful number, since it uses less digits than its factorization.

2220301320012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653279 (or 653274 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2220301320012 its reverse (2100231030222), we get a palindrome (4320532350234).

The spelling of 2220301320012 in words is "two trillion, two hundred twenty billion, three hundred one million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 2311 4622 6933 9244 13866 20799 27732 41598 83196 94751 189502 284253 379004 568506 650917 852759 1137012 1301834 1705518 1952751 2603668 3411036 3905502 5858253 7811004 11716506 23433012 26687597 53375194 80062791 106750388 160125582 240188373 320251164 480376746 960753492 1504269187 3008538374 4512807561 6017076748 9025615122 13538422683 18051230244 27076845366 54153690732 61675036667 123350073334 185025110001 246700146668 370050220002 555075330003 740100440004 1110150660006 2220301320012