Search a number
-
+
120212121020 = 225101167461773
BaseRepresentation
bin110111111110100110…
…0110110010110111100
3102111021210022110211112
41233331030312112330
53432143300333040
6131120310541152
711453653112015
oct1577514662674
9374253273745
10120212121020
1146a88676852
121b36a9677b8
13b44a126774
145b655a200c
1531d8906365
hex1bfd3365bc

120212121020 has 96 divisors (see below), whose sum is σ = 257360374656. Its totient is φ = 47159936000.

The previous prime is 120212121019. The next prime is 120212121059. The reversal of 120212121020 is 20121212021.

It is a junction number, because it is equal to n+sod(n) for n = 120212120986 and 120212121004.

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, 155513354 + ... + 155514126.

It is an arithmetic number, because the mean of its divisors is an integer number (2680837236).

Almost surely, 2120212121020 is an apocalyptic number.

120212121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212121020 is an abundant number, since it is smaller than the sum of its proper divisors (137148253636).

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

120212121020 is a wasteful number, since it uses less digits than its factorization.

120212121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120212121020 its reverse (20121212021), we get a palindrome (140333333041).

The spelling of 120212121020 in words is "one hundred twenty billion, two hundred twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 101 167 202 334 404 461 505 668 773 835 922 1010 1546 1670 1844 2020 2305 3092 3340 3865 4610 7730 9220 15460 16867 33734 46561 67468 76987 78073 84335 93122 129091 153974 156146 168670 186244 232805 258182 307948 312292 337340 356353 384935 390365 465610 516364 645455 712706 769870 780730 931220 1290910 1425412 1539740 1561460 1781765 2581820 3563530 7127060 7775687 13038191 15551374 26076382 31102748 35991653 38878435 52152764 59510951 65190955 71983306 77756870 119021902 130381910 143966612 155513740 179958265 238043804 260763820 297554755 359916530 595109510 719833060 1190219020 6010606051 12021212102 24042424204 30053030255 60106060510 120212121020