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12200332040 = 2351327784701
BaseRepresentation
bin10110101110011001…
…00100101100001000
31011111021002002020122
423113030210230020
5144441241111130
65334343242412
7611223053111
oct132714445410
934437062218
1012200332040
1151a0851046
122445a49408
1311c5806cb0
1483a489208
154b61432e5
hex2d7324b08

12200332040 has 64 divisors (see below), whose sum is σ = 29669416560. Its totient is φ = 4488422400.

The previous prime is 12200332019. The next prime is 12200332061. The reversal of 12200332040 is 4023300221.

It is an interprime number because it is at equal distance from previous prime (12200332019) and next prime (12200332061).

It can be written as a sum of positive squares in 8 ways, for example, as 461476324 + 11738855716 = 21482^2 + 108346^2 .

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, 101690 + ... + 186390.

Almost surely, 212200332040 is an apocalyptic number.

12200332040 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 12200332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14834708280).

12200332040 is an abundant number, since it is smaller than the sum of its proper divisors (17469084520).

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

12200332040 is a wasteful number, since it uses less digits than its factorization.

12200332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85002 (or 84998 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 12200332040 its reverse (4023300221), we get a palindrome (16223632261).

The spelling of 12200332040 in words is "twelve billion, two hundred million, three hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 277 520 554 1108 1385 2216 2770 3601 5540 7202 11080 14404 18005 28808 36010 72020 84701 144040 169402 338804 423505 677608 847010 1101113 1694020 2202226 3388040 4404452 5505565 8808904 11011130 22022260 23462177 44044520 46924354 93848708 117310885 187697416 234621770 305008301 469243540 610016602 938487080 1220033204 1525041505 2440066408 3050083010 6100166020 12200332040