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122021020020200 = 23527203694278947
BaseRepresentation
bin11011101111101000111011…
…100011011010110111101000
3121000001002120200111112211012
4123233220323203122313220
5111443143022111121300
61111303403245523052
734462504425002030
oct3357507343326750
9530032520445735
10122021020020200
11359749077a1314
12118285a8873488
1353116c0795502
14221bbc54848c0
15e190a7bd7435
hex6efa3b8dade8

122021020020200 has 96 divisors (see below), whose sum is σ = 324243275227200. Its totient is φ = 41833714621440.

The previous prime is 122021020020173. The next prime is 122021020020223. The reversal of 122021020020200 is 2020020120221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26377127 + ... + 30656073.

It is an arithmetic number, because the mean of its divisors is an integer number (3377534116950).

Almost surely, 2122021020020200 is an apocalyptic number.

122021020020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021020020200 is an abundant number, since it is smaller than the sum of its proper divisors (202222255207000).

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

122021020020200 is a wasteful number, since it uses less digits than its factorization.

122021020020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299339 (or 4299330 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 122021020020200 its reverse (2020020120221), we get a palindrome (124041040140421).

The spelling of 122021020020200 in words is "one hundred twenty-two trillion, twenty-one billion, twenty million, twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 20369 40738 81476 101845 142583 162952 203690 285166 407380 509225 570332 712915 814760 1018450 1140664 1425830 2036900 2851660 3564575 4073800 4278947 5703320 7129150 8557894 14258300 17115788 21394735 28516600 29952629 34231576 42789470 59905258 85578940 106973675 119810516 149763145 171157880 213947350 239621032 299526290 427894700 599052580 748815725 855789400 1198105160 1497631450 2995262900 5990525800 87157871443 174315742886 348631485772 435789357215 610105100101 697262971544 871578714430 1220210200202 1743157428860 2178946786075 2440420400404 3050525500505 3486314857720 4357893572150 4880840800808 6101051001010 8715787144300 12202102002020 15252627502525 17431574288600 24404204004040 30505255005050 61010510010100 122021020020200