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120023121132 = 2232171873104707
BaseRepresentation
bin110111111000111101…
…1110111110011101100
3102110210121200021201200
41233301323313303230
53431301404334012
6131045440005500
711446166460645
oct1576173676354
9373717607650
10120023121132
11469a0a173a2
121b317600890
13b419c21305
145b484446cc
1531c70213dc
hex1bf1ef7cec

120023121132 has 72 divisors (see below), whose sum is σ = 321412933296. Its totient is φ = 37633849344.

The previous prime is 120023121121. The next prime is 120023121137. The reversal of 120023121132 is 231121320021.

It is a super-2 number, since 2×1200231211322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120023121137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1093923 + ... + 1198629.

It is an arithmetic number, because the mean of its divisors is an integer number (4464068518).

Almost surely, 2120023121132 is an apocalyptic number.

120023121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120023121132 is an abundant number, since it is smaller than the sum of its proper divisors (201389812164).

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

120023121132 is a wasteful number, since it uses less digits than its factorization.

120023121132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106607 (or 106602 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120023121132 its reverse (231121320021), we get a palindrome (351144441153).

The spelling of 120023121132 in words is "one hundred twenty billion, twenty-three million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1873 3746 5619 7492 11238 16857 22476 31841 33714 63682 67428 95523 104707 127364 191046 209414 286569 314121 382092 418828 573138 628242 942363 1146276 1256484 1780019 1884726 3560038 3769452 5340057 7120076 10680114 16020171 21360228 32040342 64080684 196116211 392232422 588348633 784464844 1176697266 1765045899 2353394532 3333975587 3530091798 6667951174 7060183596 10001926761 13335902348 20003853522 30005780283 40007707044 60011560566 120023121132