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12020102010012 = 223731372292631663
BaseRepresentation
bin1010111011101010010111…
…1010010001010010011100
31120120002222120120000110210
42232322211322101102130
53033414132103310022
641321543021532420
72350265222202465
oct256724572212234
946502876500423
1012020102010012
113914773248518
1214216aba14110
1369264c262b75
142d7ac1659d6c
1515ca0cadba0c
hexaeea5e9149c

12020102010012 has 192 divisors, whose sum is σ = 28890424442880. Its totient is φ = 3888647294976.

The previous prime is 12020102010011. The next prime is 12020102010013. The reversal of 12020102010012 is 21001020102021.

It is an interprime number because it is at equal distance from previous prime (12020102010011) and next prime (12020102010013).

It is a super-3 number, since 3×120201020100123 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12020102010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020102010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7227961893 + ... + 7227963555.

It is an arithmetic number, because the mean of its divisors is an integer number (150470960640).

Almost surely, 212020102010012 is an apocalyptic number.

12020102010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12020102010012 is an abundant number, since it is smaller than the sum of its proper divisors (16870322432868).

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

12020102010012 is a wasteful number, since it uses less digits than its factorization.

12020102010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12020102010012 its reverse (21001020102021), we get a palindrome (33021122112033).

The spelling of 12020102010012 in words is "twelve trillion, twenty billion, one hundred two million, ten thousand, twelve".