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122636612340 = 223251166193703
BaseRepresentation
bin111001000110110110…
…1100011001011110100
3102201112202102101200100
41302031231203023310
54002124433043330
6132201040114100
711601023001564
oct1621555431364
9381482371610
10122636612340
1148012196a90
121b926905930
13b745508c08
145d15598da4
1532cb6b9060
hex1c8db632f4

122636612340 has 144 divisors (see below), whose sum is σ = 406433978496. Its totient is φ = 29684793600.

The previous prime is 122636612327. The next prime is 122636612347. The reversal of 122636612340 is 43216636221.

122636612340 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 3 + 6 + 612 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122636612295 and 122636612304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122636612347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1261929 + ... + 1355631.

It is an arithmetic number, because the mean of its divisors is an integer number (2822458184).

Almost surely, 2122636612340 is an apocalyptic number.

122636612340 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 122636612340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203216989248).

122636612340 is an abundant number, since it is smaller than the sum of its proper divisors (283797366156).

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

122636612340 is a wasteful number, since it uses less digits than its factorization.

122636612340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94390 (or 94385 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 122636612340 in words is "one hundred twenty-two billion, six hundred thirty-six million, six hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 661 990 1322 1980 1983 2644 3305 3966 5949 6610 7271 7932 9915 11898 13220 14542 19830 21813 23796 29084 29745 36355 39660 43626 59490 65439 72710 87252 93703 109065 118980 130878 145420 187406 218130 261756 281109 327195 374812 436260 468515 562218 654390 843327 937030 1030733 1124436 1308780 1405545 1686654 1874060 2061466 2811090 3092199 3373308 4122932 4216635 5153665 5622180 6184398 8433270 9276597 10307330 12368796 15460995 16866540 18553194 20614660 30921990 37106388 46382985 61843980 61937683 92765970 123875366 185531940 185813049 247750732 309688415 371626098 557439147 619376830 681314513 743252196 929065245 1114878294 1238753660 1362629026 1858130490 2043943539 2229756588 2725258052 2787195735 3406572565 3716260980 4087887078 5574391470 6131830617 6813145130 8175774156 10219717695 11148782940 12263661234 13626290260 20439435390 24527322468 30659153085 40878870780 61318306170 122636612340