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12230021202100 = 22521357716304521
BaseRepresentation
bin1011000111111000011000…
…0100011100000010110100
31121022011211012112212110221
42301332012010130002310
53100334040411431400
642002221050424124
72401406216662042
oct261760604340264
947264735485427
1012230021202100
1139957a5150529
121456315432044
136a93945b8470
14303d16c67392
151631e6caac1a
hexb1f8611c0b4

12230021202100 has 72 divisors (see below), whose sum is σ = 28630153669208. Its totient is φ = 4507873689600.

The previous prime is 12230021202067. The next prime is 12230021202121. The reversal of 12230021202100 is 120212003221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3725355493924 + 8504665708176 = 1930118^2 + 2916276^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7402161 + ... + 8902360.

Almost surely, 212230021202100 is an apocalyptic number.

12230021202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12230021202100 is an abundant number, since it is smaller than the sum of its proper divisors (16400132467108).

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

12230021202100 is a wasteful number, since it uses less digits than its factorization.

12230021202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16305125 (or 16305118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12230021202100 its reverse (120212003221), we get a palindrome (12350233205321).

The spelling of 12230021202100 in words is "twelve trillion, two hundred thirty billion, twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 577 650 1154 1300 2308 2885 5770 7501 11540 14425 15002 28850 30004 37505 57700 75010 150020 187525 375050 750100 16304521 32609042 65218084 81522605 163045210 211958773 326090420 407613025 423917546 815226050 847835092 1059793865 1630452100 2119587730 4239175460 5298969325 9407708617 10597938650 18815417234 21195877300 37630834468 47038543085 94077086170 122300212021 188154172340 235192715425 244600424042 470385430850 489200848084 611501060105 940770861700 1223002120210 2446004240420 3057505300525 6115010601050 12230021202100