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122114012020 = 225711136099601
BaseRepresentation
bin111000110111010001…
…1111111001101110100
3102200012100001112210221
41301232203333031310
54000042141341040
6132033131024124
711552045655520
oct1615643771564
9380170045727
10122114012020
11478741a36a0
121b7bb89b044
13b69116cc60
145ca5ddcd80
15329a88974a
hex1c6e8ff374

122114012020 has 96 divisors (see below), whose sum is σ = 344310333696. Its totient is φ = 35133696000.

The previous prime is 122114011991. The next prime is 122114012023. The reversal of 122114012020 is 20210411221.

It is a junction number, because it is equal to n+sod(n) for n = 122114011985 and 122114012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122114012023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3029781 + ... + 3069820.

It is an arithmetic number, because the mean of its divisors is an integer number (3586565976).

Almost surely, 2122114012020 is an apocalyptic number.

122114012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122114012020 is an abundant number, since it is smaller than the sum of its proper divisors (222196321676).

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

122114012020 is a wasteful number, since it uses less digits than its factorization.

122114012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6099641 (or 6099639 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122114012020 its reverse (20210411221), we get a palindrome (142324423241).

The spelling of 122114012020 in words is "one hundred twenty-two billion, one hundred fourteen million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 6099601 12199202 24398404 30498005 42697207 60996010 67095611 79294813 85394414 121992020 134191222 158589626 170788828 213486035 268382444 317179252 335478055 396474065 426972070 469669277 555063691 670956110 792948130 853944140 872242943 939338554 1110127382 1341912220 1585896260 1744485886 1878677108 2220254764 2348346385 2775318455 3488971772 4361214715 4696692770 5550636910 6105700601 8722429430 9393385540 11101273820 12211401202 17444858860 24422802404 30528503005 61057006010 122114012020