Search a number
-
+
12210202020 = 22353713939569
BaseRepresentation
bin10110101111100100…
…01110010110100100
31011111221122112022110
423113302032112210
5200001302431040
65335335001020
7611403001422
oct132762162644
934457575273
1012210202020
1151a6382555
122449209170
1311c7881613
1483b8d8112
154b6e42980
hex2d7c8e5a4

12210202020 has 96 divisors (see below), whose sum is σ = 35366083200. Its totient is φ = 3145181184.

The previous prime is 12210201979. The next prime is 12210202033. The reversal of 12210202020 is 2020201221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12210201987 and 12210202005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288796 + ... + 328364.

It is an arithmetic number, because the mean of its divisors is an integer number (368396700).

Almost surely, 212210202020 is an apocalyptic number.

12210202020 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 12210202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683041600).

12210202020 is an abundant number, since it is smaller than the sum of its proper divisors (23155881180).

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

12210202020 is a wasteful number, since it uses less digits than its factorization.

12210202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39757 (or 39755 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12210202020 its reverse (2020201221), we get a palindrome (14230403241).

The spelling of 12210202020 in words is "twelve billion, two hundred ten million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 139 148 185 222 278 370 417 444 555 556 695 740 834 1110 1390 1668 2085 2220 2780 4170 5143 8340 10286 15429 20572 25715 30858 39569 51430 61716 77145 79138 102860 118707 154290 158276 197845 237414 308580 395690 474828 593535 791380 1187070 1464053 2374140 2928106 4392159 5500091 5856212 7320265 8784318 11000182 14640530 16500273 17568636 21960795 22000364 27500455 29281060 33000546 43921590 55000910 66001092 82501365 87843180 110001820 165002730 203503367 330005460 407006734 610510101 814013468 1017516835 1221020202 2035033670 2442040404 3052550505 4070067340 6105101010 12210202020