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122221020001120 = 2553592127803273
BaseRepresentation
bin11011110010100011001100…
…011110110011001101100000
3121000202012211000202021010221
4123302203030132303031200
5112004432122110013440
61111535321135332424
734513114545536305
oct3362431436631540
9530665730667127
10122221020001120
1135a4170954a147
121185b304381114
135327514aa8aa1
14222775955d0ac
15e1e3b1155d4a
hex6f28cc7b3360

122221020001120 has 48 divisors (see below), whose sum is σ = 289551469525920. Its totient is φ = 48752228568064.

The previous prime is 122221020001099. The next prime is 122221020001121. The reversal of 122221020001120 is 21100020122221.

It is a happy number.

It is a super-2 number, since 2×1222210200011202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122221020001094 and 122221020001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122221020001121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1063844197 + ... + 1063959076.

It is an arithmetic number, because the mean of its divisors is an integer number (6032322281790).

Almost surely, 2122221020001120 is an apocalyptic number.

122221020001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221020001120 is an abundant number, since it is smaller than the sum of its proper divisors (167330449524800).

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

122221020001120 is a wasteful number, since it uses less digits than its factorization.

122221020001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127803647 (or 2127803639 counting only the distinct ones).

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

Adding to 122221020001120 its reverse (21100020122221), we get a palindrome (143321040123341).

The spelling of 122221020001120 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, twenty million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 359 718 1436 1795 2872 3590 5744 7180 11488 14360 28720 57440 2127803273 4255606546 8511213092 10639016365 17022426184 21278032730 34044852368 42556065460 68089704736 85112130920 170224261840 340448523680 763881375007 1527762750014 3055525500028 3819406875035 6111051000056 7638813750070 12222102000112 15277627500140 24444204000224 30555255000280 61110510000560 122221020001120