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21220200112120 = 23519593171492879
BaseRepresentation
bin1001101001100101101100…
…11111010101111111111000
32210010122001020020122002221
410310302312133111333320
510240132432212041440
6113044231513133424
74320052224604042
oct464626637257770
983118036218087
1021220200112120
116841488832369
12246874a0ba274
13bac09686c6b9
145350c547ca92
1526bebd169d4a
hex134cb67d5ff8

21220200112120 has 128 divisors (see below), whose sum is σ = 51271470720000. Its totient is φ = 7880102779392.

The previous prime is 21220200112103. The next prime is 21220200112141. The reversal of 21220200112120 is 2121100202212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21220200112094 and 21220200112103.

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, 13467841 + ... + 14960719.

It is an arithmetic number, because the mean of its divisors is an integer number (400558365000).

Almost surely, 221220200112120 is an apocalyptic number.

21220200112120 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 21220200112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25635735360000).

21220200112120 is an abundant number, since it is smaller than the sum of its proper divisors (30051270607880).

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

21220200112120 is a wasteful number, since it uses less digits than its factorization.

21220200112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493285 (or 1493281 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21220200112120 its reverse (2121100202212), we get a palindrome (23341300314332).

The spelling of 21220200112120 in words is "twenty-one trillion, two hundred twenty billion, two hundred million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 59 76 95 118 152 190 236 295 317 380 472 590 634 760 1121 1180 1268 1585 2242 2360 2536 3170 4484 5605 6023 6340 8968 11210 12046 12680 18703 22420 24092 30115 37406 44840 48184 60230 74812 93515 120460 149624 187030 240920 355357 374060 710714 748120 1421428 1492879 1776785 2842856 2985758 3553570 5971516 7107140 7464395 11943032 14214280 14928790 28364701 29857580 56729402 59715160 88079861 113458804 141823505 176159722 226917608 283647010 352319444 440399305 473242643 567294020 704638888 880798610 946485286 1134588040 1673517359 1761597220 1892970572 2366213215 3347034718 3523194440 3785941144 4732426430 6694069436 8367586795 8991610217 9464852860 13388138872 16735173590 17983220434 18929705720 27921315937 33470347180 35966440868 44958051085 55842631874 66940694360 71932881736 89916102170 111685263748 139606579685 179832204340 223370527496 279213159370 359664408680 530505002803 558426318740 1061010005606 1116852637480 2122020011212 2652525014015 4244040022424 5305050028030 10610100056060 21220200112120