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122212000020 = 2235111811023037
BaseRepresentation
bin111000111010001100…
…1110010000100010100
3102200110011102212002010
41301310121302010110
54000242233000040
6132050551144220
711554345601025
oct1616431620424
9380404385063
10122212000020
1147914540510
121b828675070
13b6a855aa16
145cb5028c4c
1532a4292e80
hex1c74672114

122212000020 has 96 divisors (see below), whose sum is σ = 375364918656. Its totient is φ = 29463436800.

The previous prime is 122212000003. The next prime is 122212000033. The reversal of 122212000020 is 20000212221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 392059 + ... + 630978.

It is an arithmetic number, because the mean of its divisors is an integer number (3910051236).

Almost surely, 2122212000020 is an apocalyptic number.

122212000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212000020 is an abundant number, since it is smaller than the sum of its proper divisors (253152918636).

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

122212000020 is a wasteful number, since it uses less digits than its factorization.

122212000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023241 (or 1023239 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122212000020 its reverse (20000212221), we get a palindrome (142212212241).

The spelling of 122212000020 in words is "one hundred twenty-two billion, two hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 181 220 330 362 543 660 724 905 1086 1810 1991 2172 2715 3620 3982 5430 5973 7964 9955 10860 11946 19910 23892 29865 39820 59730 119460 1023037 2046074 3069111 4092148 5115185 6138222 10230370 11253407 12276444 15345555 20460740 22506814 30691110 33760221 45013628 56267035 61382220 67520442 112534070 135040884 168801105 185169697 225068140 337602210 370339394 555509091 675204420 740678788 925848485 1111018182 1851696970 2036866667 2222036364 2777545455 3703393940 4073733334 5555090910 6110600001 8147466668 10184333335 11110181820 12221200002 20368666670 24442400004 30553000005 40737333340 61106000010 122212000020