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122112301020 = 2235373493972
BaseRepresentation
bin111000110111001110…
…1011101011111011100
3102200012012211121202120
41301232131131133130
54000041222113040
6132033030222540
711552025301263
oct1615635353734
9380165747676
10122112301020
1147873235146
121b7bb1b4a50
13b6909c1228
145ca5ab55da
15329a64c7d0
hex1c6e75d7dc

122112301020 has 144 divisors (see below), whose sum is σ = 353050840800. Its totient is φ = 31512830976.

The previous prime is 122112301013. The next prime is 122112301033. The reversal of 122112301020 is 20103211221.

It is a super-2 number, since 2×1221123010202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307587462 + ... + 307587858.

It is an arithmetic number, because the mean of its divisors is an integer number (2451741950).

Almost surely, 2122112301020 is an apocalyptic number.

122112301020 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 122112301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176525420400).

122112301020 is an abundant number, since it is smaller than the sum of its proper divisors (230938539780).

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

122112301020 is a wasteful number, since it uses less digits than its factorization.

122112301020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122112301020 its reverse (20103211221), we get a palindrome (142215512241).

The spelling of 122112301020 in words is "one hundred twenty-two billion, one hundred twelve million, three hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 349 370 397 444 555 698 740 794 1047 1110 1191 1396 1588 1745 1985 2094 2220 2382 3490 3970 4188 4764 5235 5955 6980 7940 10470 11910 12913 14689 20940 23820 25826 29378 38739 44067 51652 58756 64565 73445 77478 88134 129130 138553 146890 154956 157609 176268 193695 220335 258260 277106 293780 315218 387390 415659 440670 472827 554212 630436 692765 774780 788045 831318 881340 945654 1385530 1576090 1662636 1891308 2078295 2364135 2771060 3152180 4156590 4728270 5126461 5831533 8313180 9456540 10252922 11663066 15379383 17494599 20505844 23326132 25632305 29157665 30758766 34989198 51264610 55005541 58315330 61517532 69978396 76896915 87472995 102529220 110011082 116630660 153793830 165016623 174945990 220022164 275027705 307587660 330033246 349891980 550055410 660066492 825083115 1100110820 1650166230 2035205017 3300332460 4070410034 6105615051 8140820068 10176025085 12211230102 20352050170 24422460204 30528075255 40704100340 61056150510 122112301020