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120022121012 = 222973137103457
BaseRepresentation
bin110111111000111100…
…0000011101000110100
3102110210112210110211012
41233301320003220310
53431301130333022
6131045402331352
711446155124103
oct1576170035064
9373715713735
10120022121012
11469a03a3a52
121b3171b9b58
13b419961021
145b4826403a
1531c6dc4de2
hex1bf1e03a34

120022121012 has 48 divisors (see below), whose sum is σ = 221867750160. Its totient is φ = 56730304512.

The previous prime is 120022120991. The next prime is 120022121027. The reversal of 120022121012 is 210121220021.

It can be written as a sum of positive squares in 8 ways, for example, as 4218916 + 120017902096 = 2054^2 + 346436^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108388 + ... + 1211844.

It is an arithmetic number, because the mean of its divisors is an integer number (4622244795).

Almost surely, 2120022121012 is an apocalyptic number.

It is an amenable number.

120022121012 is a deficient number, since it is larger than the sum of its proper divisors (101845629148).

120022121012 is a wasteful number, since it uses less digits than its factorization.

120022121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103700 (or 103698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120022121012 its reverse (210121220021), we get a palindrome (330143341033).

Subtracting 120022121012 from its reverse (210121220021), we obtain a palindrome (90099099009).

The spelling of 120022121012 in words is "one hundred twenty billion, twenty-two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 29 58 73 116 137 146 274 292 548 2117 3973 4234 7946 8468 10001 15892 20002 40004 103457 206914 290029 413828 580058 1160116 3000253 6000506 7552361 12001012 14173609 15104722 28347218 30209444 56694436 219018469 411034661 438036938 822069322 876073876 1034673457 1644138644 2069346914 4138693828 30005530253 60011060506 120022121012