Search a number
-
+
122220012201100 = 225211126118810491
BaseRepresentation
bin11011110010100010010000…
…011010010110010010001100
3121000202010012210101201102021
4123302202100122112102030
5112004423041110413400
61111535033134535524
734513050560430652
oct3362422032262214
9530663183351367
10122220012201100
1135a41241689070
121185b0829675a4
1353273b406a508
1422276a1780dd2
15e1e35293371a
hex6f289069648c

122220012201100 has 72 divisors (see below), whose sum is σ = 289351076970816. Its totient is φ = 44440111560000.

The previous prime is 122220012201047. The next prime is 122220012201137. The reversal of 122220012201100 is 1102210022221.

It is a happy number.

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, 9466855 + ... + 18277345.

It is an arithmetic number, because the mean of its divisors is an integer number (4018764957928).

Almost surely, 2122220012201100 is an apocalyptic number.

122220012201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122220012201100 is an abundant number, since it is smaller than the sum of its proper divisors (167131064769716).

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

122220012201100 is a wasteful number, since it uses less digits than its factorization.

122220012201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8823127 (or 8823120 counting only the distinct ones).

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

Adding to 122220012201100 its reverse (1102210022221), we get a palindrome (123322222223321).

The spelling of 122220012201100 in words is "one hundred twenty-two trillion, two hundred twenty billion, twelve million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 12611 25222 50444 63055 126110 138721 252220 277442 315275 554884 630550 693605 1261100 1387210 2774420 3468025 6936050 8810491 13872100 17620982 35241964 44052455 88104910 96915401 176209820 193830802 220262275 387661604 440524550 484577005 881049100 969154010 1938308020 2422885025 4845770050 9691540100 111109102001 222218204002 444436408004 555545510005 1111091020010 1222200122011 2222182040020 2444400244022 2777727550025 4888800488044 5555455100050 6111000610055 11110910200100 12222001220110 24444002440220 30555003050275 61110006100550 122220012201100