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12020102002000 = 24536010051001
BaseRepresentation
bin1010111011101010010111…
…1010001111010101010000
31120120002222120112121111001
42232322211322033111100
53033414132103031000
641321543021431344
72350265222140231
oct256724572172520
946502876477431
1012020102002000
1139147732424a4
1214216aba0b554
1369264c25c321
142d7ac1657088
1515ca0cad946a
hexaeea5e8f550

12020102002000 has 40 divisors (see below), whose sum is σ = 29064606645672. Its totient is φ = 4808040800000.

The previous prime is 12020102001961. The next prime is 12020102002091. The reversal of 12020102002000 is 20020102021.

It can be written as a sum of positive squares in 4 ways, for example, as 71244151056 + 11948857850944 = 266916^2 + 3456712^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×120201020020003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3005023501 + ... + 3005027500.

Almost surely, 212020102002000 is an apocalyptic number.

12020102002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020102002000 is an abundant number, since it is smaller than the sum of its proper divisors (17044504643672).

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

12020102002000 is an equidigital number, since it uses as much as digits as its factorization.

12020102002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6010051024 (or 6010051008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12020102002000 its reverse (20020102021), we get a palindrome (12040122104021).

The spelling of 12020102002000 in words is "twelve trillion, twenty billion, one hundred two million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6010051001 12020102002 24040204004 30050255005 48080408008 60100510010 96160816016 120201020020 150251275025 240402040040 300502550050 480804080080 601005100100 751256375125 1202010200200 1502512750250 2404020400400 3005025500500 6010051001000 12020102002000