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122010102220200 = 23352412749273121
BaseRepresentation
bin11011101111011110110000…
…110011010100010110101000
3121000000001101210201211210020
4123233132300303110112220
5111443003142132021300
61111254400035320440
734461640034144235
oct3357366063242650
9530001353654706
10122010102220200
11359702149a7607
1211826460450120
1353106708bb71c
14221b46b49078c
15e18b694838a0
hex6ef7b0cd45a8

122010102220200 has 96 divisors (see below), whose sum is σ = 378322972565760. Its totient is φ = 32528142899200.

The previous prime is 122010102220199. The next prime is 122010102220231. The reversal of 122010102220200 is 2022201010221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122010102220200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22160361 + ... + 27112760.

It is an arithmetic number, because the mean of its divisors is an integer number (3940864297560).

Almost surely, 2122010102220200 is an apocalyptic number.

122010102220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010102220200 is an abundant number, since it is smaller than the sum of its proper divisors (256312870345560).

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

122010102220200 is a wasteful number, since it uses less digits than its factorization.

122010102220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49277267 (or 49277258 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122010102220200 its reverse (2022201010221), we get a palindrome (124032303230421).

The spelling of 122010102220200 in words is "one hundred twenty-two trillion, ten billion, one hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 4127 8254 12381 16508 20635 24762 33016 41270 49524 61905 82540 99048 103175 123810 165080 206350 247620 309525 412700 495240 619050 825400 1238100 2476200 49273121 98546242 147819363 197092484 246365605 295638726 394184968 492731210 591277452 739096815 985462420 1182554904 1231828025 1478193630 1970924840 2463656050 2956387260 3695484075 4927312100 5912774520 7390968150 9854624200 14781936300 29563872600 203350170367 406700340734 610050511101 813400681468 1016750851835 1220101022202 1626801362936 2033501703670 2440202044404 3050252555505 4067003407340 4880404088808 5083754259175 6100505111010 8134006814680 10167508518350 12201010222020 15251262777525 20335017036700 24402020444040 30502525555050 40670034073400 61005051110100 122010102220200