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122142030200 = 23524747927127
BaseRepresentation
bin111000111000000111…
…0110111100101111000
3102200021021210000112022
41301300032313211320
54000121324431300
6132040011334012
711552536061261
oct1616016674570
9380237700468
10122142030200
1147888aa0113
121b809151308
13b696bccb68
145ca9a13968
15329d071285
hex1c703b7978

122142030200 has 96 divisors (see below), whose sum is σ = 290638540800. Its totient is φ = 47715719040.

The previous prime is 122142030193. The next prime is 122142030223. The reversal of 122142030200 is 2030241221.

It is a congruent 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, 4489037 + ... + 4516163.

It is an arithmetic number, because the mean of its divisors is an integer number (3027484800).

Almost surely, 2122142030200 is an apocalyptic number.

122142030200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122142030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145319270400).

122142030200 is an abundant number, since it is smaller than the sum of its proper divisors (168496510600).

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

122142030200 is a wasteful number, since it uses less digits than its factorization.

122142030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27669 (or 27660 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 122142030200 its reverse (2030241221), we get a palindrome (124172271421).

The spelling of 122142030200 in words is "one hundred twenty-two billion, one hundred forty-two million, thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 479 940 958 1175 1880 1916 2350 2395 3832 4700 4790 9400 9580 11975 19160 22513 23950 27127 45026 47900 54254 90052 95800 108508 112565 135635 180104 217016 225130 271270 450260 542540 562825 678175 900520 1085080 1125650 1274969 1356350 2251300 2549938 2712700 4502600 5099876 5425400 6374845 10199752 12749690 12993833 25499380 25987666 31874225 50998760 51975332 63748450 64969165 103950664 127496900 129938330 254993800 259876660 324845825 519753320 610710151 649691650 1221420302 1299383300 2442840604 2598766600 3053550755 4885681208 6107101510 12214203020 15267753775 24428406040 30535507550 61071015100 122142030200