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12002213120 = 2859376729
BaseRepresentation
bin10110010110110001…
…10011110100000000
31010222110021121011212
423023120303310000
5144040031304440
65302545025252
7603266061662
oct131330636400
933873247155
1012002213120
1150a9a333a7
1223ab625228
13119375ac71
1481c036532
154a3a5b465
hex2cb633d00

12002213120 has 36 divisors (see below), whose sum is σ = 28749054180. Its totient is φ = 4800884736.

The previous prime is 12002213117. The next prime is 12002213131. The reversal of 12002213120 is 2131220021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5348874496 + 6653338624 = 73136^2 + 81568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12002213095 and 12002213104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4687085 + ... + 4689644.

Almost surely, 212002213120 is an apocalyptic number.

12002213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002213120 is an abundant number, since it is smaller than the sum of its proper divisors (16746841060).

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

12002213120 is an frugal number, since it uses more digits than its factorization.

12002213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376750 (or 9376736 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12002213120 its reverse (2131220021), we get a palindrome (14133433141).

The spelling of 12002213120 in words is "twelve billion, two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 9376729 18753458 37506916 46883645 75013832 93767290 150027664 187534580 300055328 375069160 600110656 750138320 1200221312 1500276640 2400442624 3000553280 6001106560 12002213120