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122112212121020 = 22511929597476329
BaseRepresentation
bin11011110000111101110111…
…000001101011010110111100
3121000100210222000112020211202
4123300331313001223112330
5112001141302300333040
61111413324213035032
734502213311034132
oct3360756701532674
9530323860466752
10122112212121020
11359aa5533133a0
12118421b8925a78
13531a194574694
142222396817752
15e1b643a3e015
hex6f0f7706b5bc

122112212121020 has 48 divisors (see below), whose sum is σ = 280049105397600. Its totient is φ = 44356642590720.

The previous prime is 122112212120953. The next prime is 122112212121071. The reversal of 122112212121020 is 20121212211221.

It is a super-2 number, since 2×1221122121210202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122112212120983 and 122112212121001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298533785 + ... + 298942544.

It is an arithmetic number, because the mean of its divisors is an integer number (5834356362450).

Almost surely, 2122112212121020 is an apocalyptic number.

122112212121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112212121020 is an abundant number, since it is smaller than the sum of its proper divisors (157936893276580).

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

122112212121020 is a wasteful number, since it uses less digits than its factorization.

122112212121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597477278 (or 597477276 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 122112212121020 its reverse (20121212211221), we get a palindrome (142233424332241).

The spelling of 122112212121020 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 929 1858 3716 4645 9290 10219 18580 20438 40876 51095 102190 204380 597476329 1194952658 2389905316 2987381645 5974763290 6572239619 11949526580 13144479238 26288958476 32861198095 65722396190 131444792380 555055509641 1110111019282 2220222038564 2775277548205 5550555096410 6105610606051 11101110192820 12211221212102 24422442424204 30528053030255 61056106060510 122112212121020