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120212120220 = 22358927318243
BaseRepresentation
bin110111111110100110…
…0110110001010011100
3102111021210022102201220
41233331030312022130
53432143300321340
6131120310533340
711453653106463
oct1577514661234
9374253272656
10120212120220
1146a88676195
121b36a967250
13b44a1262aa
145b655a19da
1531d8905ed0
hex1bfd33629c

120212120220 has 96 divisors (see below), whose sum is σ = 340541832960. Its totient is φ = 31680929280.

The previous prime is 120212120219. The next prime is 120212120221. The reversal of 120212120220 is 22021212021.

It is an interprime number because it is at equal distance from previous prime (120212120219) and next prime (120212120221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120212120220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212120221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14579419 + ... + 14587661.

It is an arithmetic number, because the mean of its divisors is an integer number (3547310760).

Almost surely, 2120212120220 is an apocalyptic number.

120212120220 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 120212120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170270916480).

120212120220 is an abundant number, since it is smaller than the sum of its proper divisors (220329712740).

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

120212120220 is a wasteful number, since it uses less digits than its factorization.

120212120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11075 (or 11073 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120212120220 its reverse (22021212021), we get a palindrome (142233332241).

The spelling of 120212120220 in words is "one hundred twenty billion, two hundred twelve million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 2731 5340 5462 8193 8243 10924 13655 16386 16486 24729 27310 32772 32972 40965 41215 49458 54620 81930 82430 98916 123645 163860 164860 243059 247290 486118 494580 729177 733627 972236 1215295 1458354 1467254 2200881 2430590 2916708 2934508 3645885 3668135 4401762 4861180 7291770 7336270 8803524 11004405 14583540 14672540 22008810 22511633 44017620 45023266 67534899 90046532 112558165 135069798 225116330 270139596 337674495 450232660 675348990 1350697980 2003535337 4007070674 6010606011 8014141348 10017676685 12021212022 20035353370 24042424044 30053030055 40070706740 60106060110 120212120220