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122012120190 = 23537139978571
BaseRepresentation
bin111000110100001111…
…1010011010001111110
3102122221020022220111110
41301220133103101332
53444340100321230
6132015051102450
711546400624012
oct1615037232176
9378836286443
10122012120190
114782172a874
121b791741a26
13b67601632c
145c96678542
15329195e4b0
hex1c687d347e

122012120190 has 64 divisors (see below), whose sum is σ = 300962188800. Its totient is φ = 31634167680.

The previous prime is 122012120189. The next prime is 122012120213. The reversal of 122012120190 is 91021210221.

It is a super-2 number, since 2×1220121201902 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1513605 + ... + 1592175.

It is an arithmetic number, because the mean of its divisors is an integer number (4702534200).

Almost surely, 2122012120190 is an apocalyptic number.

122012120190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122012120190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150481094400).

122012120190 is an abundant number, since it is smaller than the sum of its proper divisors (178950068610).

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

122012120190 is a wasteful number, since it uses less digits than its factorization.

122012120190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80017.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 122012120190 in words is "one hundred twenty-two billion, twelve million, one hundred twenty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 1399 2798 4197 6995 8394 13990 20985 41970 51763 78571 103526 155289 157142 235713 258815 310578 392855 471426 517630 776445 785710 1178565 1552890 2357130 2907127 5814254 8721381 14535635 17442762 29071270 43606905 87213810 109920829 219841658 329762487 549604145 659524974 1099208290 1648812435 3297624870 4067070673 8134141346 12201212019 20335353365 24402424038 40670706730 61006060095 122012120190