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120012021320 = 23543157944189
BaseRepresentation
bin110111111000101000…
…1100001111001001000
3102110202211210100122112
41233301101201321020
53431241034140240
6131044402041452
711446003230662
oct1576121417110
9373684710575
10120012021320
11469957259a4
121b313949288
13b417835c89
145b46b95532
1531c607c665
hex1bf1461e48

120012021320 has 64 divisors (see below), whose sum is σ = 276487992000. Its totient is φ = 46857662208.

The previous prime is 120012021307. The next prime is 120012021323. The reversal of 120012021320 is 23120210021.

It is a happy number.

It is a super-2 number, since 2×1200120213202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120012021295 and 120012021304.

It is not an unprimeable number, because it can be changed into a prime (120012021323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2693786 + ... + 2737974.

It is an arithmetic number, because the mean of its divisors is an integer number (4320124875).

Almost surely, 2120012021320 is an apocalyptic number.

120012021320 is a gapful number since it is divisible by the number (10) 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 120012021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138243996000).

120012021320 is an abundant number, since it is smaller than the sum of its proper divisors (156475970680).

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

120012021320 is a wasteful number, since it uses less digits than its factorization.

120012021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45822 (or 45818 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 120012021320 its reverse (23120210021), we get a palindrome (143132231341).

The spelling of 120012021320 in words is "one hundred twenty billion, twelve million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1579 1720 3158 6316 7895 12632 15790 31580 44189 63160 67897 88378 135794 176756 220945 271588 339485 353512 441890 543176 678970 883780 1357940 1767560 1900127 2715880 3800254 7600508 9500635 15201016 19001270 38002540 69774431 76005080 139548862 279097724 348872155 558195448 697744310 1395488620 2790977240 3000300533 6000601066 12001202132 15001502665 24002404264 30003005330 60006010660 120012021320