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120011000120 = 23511333181883
BaseRepresentation
bin110111111000100110…
…1101000100100111000
3102110202202212110211022
41233301031220210320
53431240304000440
6131044324122012
711445661445504
oct1576115504470
9373682773738
10120011000120
1146995098730
121b313536308
13b41756920b
145b469ab304
1531c5e29cb5
hex1bf1368938

120011000120 has 64 divisors (see below), whose sum is σ = 294664487040. Its totient is φ = 43626729600.

The previous prime is 120011000111. The next prime is 120011000141. The reversal of 120011000120 is 21000110021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 120011000098 and 120011000107.

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, 1424699 + ... + 1506581.

It is an arithmetic number, because the mean of its divisors is an integer number (4604132610).

Almost surely, 2120011000120 is an apocalyptic number.

120011000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120011000120 is an abundant number, since it is smaller than the sum of its proper divisors (174653486920).

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

120011000120 is a wasteful number, since it uses less digits than its factorization.

120011000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85236 (or 85232 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120011000120 its reverse (21000110021), we get a palindrome (141011110141).

It can be divided in two parts, 1200110001 and 20, that added together give a palindrome (1200110021).

The spelling of 120011000120 in words is "one hundred twenty billion, eleven million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 3331 6662 13324 16655 26648 33310 36641 66620 73282 81883 133240 146564 163766 183205 293128 327532 366410 409415 655064 732820 818830 900713 1465640 1637660 1801426 3275320 3602852 4503565 7205704 9007130 18014260 36028520 272752273 545504546 1091009092 1363761365 2182018184 2727522730 3000275003 5455045460 6000550006 10910090920 12001100012 15001375015 24002200024 30002750030 60005500060 120011000120