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122110001000200 = 23525217891170109
BaseRepresentation
bin11011110000111011110011…
…001110111010111100001000
3121000100121020220220200022001
4123300323303032322330020
5112001122240224001300
61111412320545040344
734502104441566553
oct3360736316727410
9530317226820261
10122110001000200
11359a9619188614
12118418a03260b4
135319c0144b275
142222226cc369a
15e1b56487716a
hex6f0ef33baf08

122110001000200 has 48 divisors (see below), whose sum is σ = 283906539058500. Its totient is φ = 48843865048320.

The previous prime is 122110001000191. The next prime is 122110001000213. The reversal of 122110001000200 is 2000100011221.

It can be written as a sum of positive squares in 6 ways, for example, as 42511521447396 + 79598479552804 = 6520086^2 + 8921798^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103772746 + ... + 104942854.

Almost surely, 2122110001000200 is an apocalyptic number.

122110001000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110001000200 is an abundant number, since it is smaller than the sum of its proper divisors (161796538058300).

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

122110001000200 is a wasteful number, since it uses less digits than its factorization.

122110001000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691914 (or 1691905 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122110001000200 its reverse (2000100011221), we get a palindrome (124110101011421).

The spelling of 122110001000200 in words is "one hundred twenty-two trillion, one hundred ten billion, one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 521789 1043578 1170109 2087156 2340218 2608945 4174312 4680436 5217890 5850545 9360872 10435780 11701090 13044725 20871560 23402180 26089450 29252725 46804360 52178900 58505450 104357800 117010900 234021800 610550005001 1221100010002 2442200020004 3052750025005 4884400040008 6105500050010 12211000100020 15263750125025 24422000200040 30527500250050 61055000500100 122110001000200