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12021202100 = 22521034912377
BaseRepresentation
bin10110011001000010…
…01111110010110100
31011000210000100011102
423030201033302310
5144104411431400
65304504025232
7603616350305
oct131441176264
934023010142
1012021202100
115109723076
1223b5a62218
13119767914b
1482077a7ac
154a555c9d5
hex2cc84fcb4

12021202100 has 72 divisors (see below), whose sum is σ = 26404018368. Its totient is φ = 4750099200.

The previous prime is 12021202099. The next prime is 12021202111. The reversal of 12021202100 is 120212021.

It is a happy number.

12021202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5056112 + ... + 5058488.

Almost surely, 212021202100 is an apocalyptic number.

12021202100 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 12021202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13202009184).

12021202100 is an abundant number, since it is smaller than the sum of its proper divisors (14382816268).

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

12021202100 is a wasteful number, since it uses less digits than its factorization.

12021202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12021202100 its reverse (120212021), we get a palindrome (12141414121).

12021202100 divided by its reverse (120212021) gives a square (100 = 102).

The spelling of 12021202100 in words is "twelve billion, twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 491 515 982 1030 1964 2060 2377 2455 2575 4754 4910 5150 9508 9820 10300 11885 12275 23770 24550 47540 49100 50573 59425 101146 118850 202292 237700 244831 252865 489662 505730 979324 1011460 1167107 1224155 1264325 2334214 2448310 2528650 4668428 4896620 5057300 5835535 6120775 11671070 12241550 23342140 24483100 29177675 58355350 116710700 120212021 240424042 480848084 601060105 1202120210 2404240420 3005300525 6010601050 12021202100