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120010135252 = 227198313919553
BaseRepresentation
bin110111111000100101…
…0010101011011010100
3102110202201020112110011
41233301022111123110
53431240043312002
6131044253410004
711445651214150
oct1576112253324
9373681215404
10120010135252
1146994657967
121b313199904
13b417325667
145b46824060
1531c5d088d7
hex1bf12956d4

120010135252 has 96 divisors (see below), whose sum is σ = 257549644800. Its totient is φ = 47790093312.

The previous prime is 120010135247. The next prime is 120010135277. The reversal of 120010135252 is 252531010021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6127908 + ... + 6147460.

It is an arithmetic number, because the mean of its divisors is an integer number (2682808800).

Almost surely, 2120010135252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120010135252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128774822400).

120010135252 is an abundant number, since it is smaller than the sum of its proper divisors (137539509548).

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

120010135252 is a wasteful number, since it uses less digits than its factorization.

120010135252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19805 (or 19803 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 120010135252 its reverse (252531010021), we get a palindrome (372541145273).

The spelling of 120010135252 in words is "one hundred twenty billion, ten million, one hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 76 83 133 139 166 266 278 332 532 556 581 973 1162 1577 1946 2324 2641 3154 3892 5282 6308 10564 11039 11537 18487 19553 22078 23074 36974 39106 44156 46148 73948 78212 80759 136871 161518 219203 273742 323036 371507 438406 547484 743014 876812 1486028 1534421 1622899 2600549 2717867 3068842 3245798 5201098 5435734 6137684 6491596 10402196 10871468 11360293 19025069 22720586 30835081 38050138 45441172 51639473 61670162 76100276 103278946 123340324 206557892 215845567 225582961 361476311 431691134 451165922 722952622 863382268 902331844 1445905244 1579080727 3158161454 4286076259 6316322908 8572152518 17144305036 30002533813 60005067626 120010135252