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122311113020120 = 23543159194467059
BaseRepresentation
bin11011110011110111000110…
…011100011001001011011000
3121001001211100202122211100102
4123303313012130121023120
5112012421124413120440
61112044541041354532
734522454254551263
oct3363670634311330
9531054322584312
10122311113020120
1135a76940723842
1211874868338a48
135332b71c6919b
14222bc64951cda
15e218d5758b15
hex6f3dc67192d8

122311113020120 has 64 divisors (see below), whose sum is σ = 281617756992000. Its totient is φ = 47783654851968.

The previous prime is 122311113020119. The next prime is 122311113020143. The reversal of 122311113020120 is 21020311113221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122311113020092 and 122311113020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25147151 + ... + 29614209.

It is an arithmetic number, because the mean of its divisors is an integer number (4400277453000).

Almost surely, 2122311113020120 is an apocalyptic number.

122311113020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122311113020120 is an abundant number, since it is smaller than the sum of its proper divisors (159306643971880).

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

122311113020120 is a wasteful number, since it uses less digits than its factorization.

122311113020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483032 (or 4483028 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 122311113020120 its reverse (21020311113221), we get a palindrome (143331424133341).

The spelling of 122311113020120 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred thirteen million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 15919 31838 63676 79595 127352 159190 318380 636760 684517 1369034 2738068 3422585 4467059 5476136 6845170 8934118 13690340 17868236 22335295 27380680 35736472 44670590 89341180 178682360 192083537 384167074 768334148 960417685 1536668296 1920835370 3841670740 7683341480 71111112221 142222224442 284444448884 355555561105 568888897768 711111122210 1422222244420 2844444488840 3057777825503 6115555651006 12231111302012 15288889127515 24462222604024 30577778255030 61155556510060 122311113020120