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120002111020 = 225111928591759
BaseRepresentation
bin110111111000010101…
…1101110011000101100
3102110202011010212021101
41233300223232120230
53431231020023040
6131043405412444
711445523053661
oct1576053563054
9373664125241
10120002111020
1146990077170
121b31056a124
13b4157761ac
145b45735a68
1531c527109a
hex1bf0aee62c

120002111020 has 144 divisors (see below), whose sum is σ = 290647526400. Its totient is φ = 41268839040.

The previous prime is 120002110939. The next prime is 120002111051. The reversal of 120002111020 is 20111200021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120002110988 and 120002111006.

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, 68220901 + ... + 68222659.

It is an arithmetic number, because the mean of its divisors is an integer number (2018385600).

Almost surely, 2120002111020 is an apocalyptic number.

120002111020 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 120002111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145323763200).

120002111020 is an abundant number, since it is smaller than the sum of its proper divisors (170645415380).

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

120002111020 is a wasteful number, since it uses less digits than its factorization.

120002111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120002111020 its reverse (20111200021), we get a palindrome (140113311041).

The spelling of 120002111020 in words is "one hundred twenty billion, two million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 361 380 418 722 836 859 1045 1444 1718 1759 1805 2090 3436 3518 3610 3971 4180 4295 7036 7220 7942 8590 8795 9449 15884 16321 17180 17590 18898 19349 19855 32642 33421 35180 37796 38698 39710 47245 65284 66842 77396 79420 81605 94490 96745 133684 163210 167105 179531 188980 193490 310099 326420 334210 359062 367631 386980 620198 634999 668420 718124 735262 897655 1240396 1269998 1470524 1510981 1550495 1795310 1838155 2539996 3021962 3100990 3174995 3411089 3590620 3676310 6043924 6201980 6349990 6822178 6984989 7352620 7554905 12699980 13644356 13969978 15109810 16620791 17055445 27939956 28708639 30219620 33241582 34110890 34924945 57417278 66483164 68221780 69849890 83103955 114834556 139699780 143543195 166207910 287086390 315795029 332415820 545464141 574172780 631590058 1090928282 1263180116 1578975145 2181856564 2727320705 3157950290 5454641410 6000105551 6315900580 10909282820 12000211102 24000422204 30000527755 60001055510 120002111020