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200202012120 = 233511659230149
BaseRepresentation
bin1011101001110011111…
…0000100010111011000
3201010202102101222000210
42322130332010113120
511240003203341440
6231545503531120
720315123011425
oct2723476042730
9633672358023
10200202012120
11779a58a8970
12329732b9aa0
1315b5712c286
149992c68d4c
15531b079a80
hex2e9cf845d8

200202012120 has 128 divisors (see below), whose sum is σ = 656203680000. Its totient is φ = 48459962880.

The previous prime is 200202012097. The next prime is 200202012149. The reversal of 200202012120 is 21210202002.

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 = 200202012096 and 200202012105.

It is a congruent number.

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, 754806 + ... + 984954.

It is an arithmetic number, because the mean of its divisors is an integer number (5126591250).

Almost surely, 2200202012120 is an apocalyptic number.

200202012120 is a gapful number since it is divisible by the number (20) 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 200202012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328101840000).

200202012120 is an abundant number, since it is smaller than the sum of its proper divisors (456001667880).

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

200202012120 is a wasteful number, since it uses less digits than its factorization.

200202012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230833 (or 230829 counting only the distinct ones).

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

Adding to 200202012120 its reverse (21210202002), we get a palindrome (221412214122).

The spelling of 200202012120 in words is "two hundred billion, two hundred two million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 659 660 1318 1320 1977 2636 3295 3954 5272 6590 7249 7908 9885 13180 14498 15816 19770 21747 26360 28996 36245 39540 43494 57992 72490 79080 86988 108735 144980 173976 217470 230149 289960 434940 460298 690447 869880 920596 1150745 1380894 1841192 2301490 2531639 2761788 3452235 4602980 5063278 5523576 6904470 7594917 9205960 10126556 12658195 13808940 15189834 20253112 25316390 27617880 30379668 37974585 50632780 60759336 75949170 101265560 151668191 151898340 303336382 303796680 455004573 606672764 758340955 910009146 1213345528 1516681910 1668350101 1820018292 2275022865 3033363820 3336700202 3640036584 4550045730 5005050303 6066727640 6673400404 8341750505 9100091460 10010100606 13346800808 16683501010 18200182920 20020201212 25025251515 33367002020 40040402424 50050503030 66734004040 100101006060 200202012120