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12021220201000 = 235375116006951
BaseRepresentation
bin1010111011101110100010…
…0011110101001000101000
31120120012212111122000010211
42232323220203311020220
53033423424332413000
641322250004350504
72350335020521513
oct256735043651050
946505774560124
1012021220201000
1139151974579aa
1214219623a5434
13692799b1273a
142d7b89d71d7a
1515ca75d677ba
hexaeee88f5228

12021220201000 has 64 divisors (see below), whose sum is σ = 28167113295360. Its totient is φ = 4802085000000.

The previous prime is 12021220200991. The next prime is 12021220201009. The reversal of 12021220201000 is 10202212021.

It is a happy number.

12021220201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12021220200991) and next prime (12021220201009).

It is not an unprimeable number, because it can be changed into a prime (12021220201009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7252476 + ... + 8754475.

It is an arithmetic number, because the mean of its divisors is an integer number (440111145240).

Almost surely, 212021220201000 is an apocalyptic number.

12021220201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021220201000 is an abundant number, since it is smaller than the sum of its proper divisors (16145893094360).

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

12021220201000 is a wasteful number, since it uses less digits than its factorization.

12021220201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16007723 (or 16007709 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12021220201000 its reverse (10202212021), we get a palindrome (12031422413021).

The spelling of 12021220201000 in words is "twelve trillion, twenty-one billion, two hundred twenty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 751 1000 1502 3004 3755 6008 7510 15020 18775 30040 37550 75100 93875 150200 187750 375500 751000 16006951 32013902 64027804 80034755 128055608 160069510 320139020 400173775 640278040 800347550 1600695100 2000868875 3201390200 4001737750 8003475500 12021220201 16006951000 24042440402 48084880804 60106101005 96169761608 120212202010 240424404020 300530505025 480848808040 601061010050 1202122020100 1502652525125 2404244040200 3005305050250 6010610100500 12021220201000