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120035252112 = 24319677194413
BaseRepresentation
bin110111111001010101…
…0001001011110010000
3102110211110111121022020
41233302222021132100
53431313011031422
6131050552011440
711446404544146
oct1576252113620
9373743447266
10120035252112
11469a78525a6
121b31b690b80
13b41c5aaac9
145b49cc1596
1531c811a95c
hex1bf2a89790

120035252112 has 80 divisors (see below), whose sum is σ = 326895476160. Its totient is φ = 37849683456.

The previous prime is 120035252101. The next prime is 120035252149. The reversal of 120035252112 is 211252530021.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 520218 + ... + 714630.

It is an arithmetic number, because the mean of its divisors is an integer number (4086193452).

Almost surely, 2120035252112 is an apocalyptic number.

120035252112 is a gapful number since it is divisible by the number (12) 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 120035252112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163447738080).

120035252112 is an abundant number, since it is smaller than the sum of its proper divisors (206860224048).

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

120035252112 is a wasteful number, since it uses less digits than its factorization.

120035252112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195120 (or 195114 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 120035252112 its reverse (211252530021), we get a palindrome (331287782133).

The spelling of 120035252112 in words is "one hundred twenty billion, thirty-five million, two hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 677 912 1354 2031 2708 4062 5416 8124 10832 12863 16248 25726 32496 38589 51452 77178 102904 154356 194413 205808 308712 388826 583239 617424 777652 1166478 1555304 2332956 3110608 3693847 4665912 7387694 9331824 11081541 14775388 22163082 29550776 44326164 59101552 88652328 131617601 177304656 263235202 394852803 526470404 789705606 1052940808 1579411212 2105881616 2500734419 3158822424 5001468838 6317644848 7502203257 10002937676 15004406514 20005875352 30008813028 40011750704 60017626056 120035252112