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122111000200 = 23527544916007
BaseRepresentation
bin111000110111001100…
…0011111111010001000
3102200012010101112101001
41301232120133322020
54000040404001300
6132032542304344
711552011242640
oct1615630377210
9380163345331
10122111000200
1147872526892
121b7ba8880b4
13b690657107
145ca5857520
15329a49216a
hex1c6e61fe88

122111000200 has 96 divisors (see below), whose sum is σ = 324546192000. Its totient is φ = 41856330240.

The previous prime is 122111000197. The next prime is 122111000233. The reversal of 122111000200 is 2000111221.

It is a super-2 number, since 2×1221110002002 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 7620597 + ... + 7636603.

It is an arithmetic number, because the mean of its divisors is an integer number (3380689500).

Almost surely, 2122111000200 is an apocalyptic number.

122111000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111000200 is an abundant number, since it is smaller than the sum of its proper divisors (202435191800).

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

122111000200 is a wasteful number, since it uses less digits than its factorization.

122111000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21479 (or 21470 counting only the distinct ones).

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

Adding to 122111000200 its reverse (2000111221), we get a palindrome (124111111421).

The spelling of 122111000200 in words is "one hundred twenty-two billion, one hundred eleven million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 5449 10898 16007 21796 27245 32014 38143 43592 54490 64028 76286 80035 108980 112049 128056 136225 152572 160070 190715 217960 224098 272450 305144 320140 381430 400175 448196 544900 560245 640280 762860 800350 896392 953575 1089800 1120490 1525720 1600700 1907150 2240980 2801225 3201400 3814300 4481960 5602450 7628600 11204900 22409800 87222143 174444286 348888572 436110715 610555001 697777144 872221430 1221110002 1744442860 2180553575 2442220004 3052775005 3488885720 4361107150 4884440008 6105550010 8722214300 12211100020 15263875025 17444428600 24422200040 30527750050 61055500100 122111000200