Search a number
-
+
12121000120 = 2355961269313
BaseRepresentation
bin10110100100111011…
…11100100010111000
31011021201210121022101
423102131330202320
5144310434000440
65322431033144
7606240541525
oct132235744270
934251717271
1012121000120
11515aa96879
12242336b7b4
1311b224ba28
1482db1814c
154ae1c269a
hex2d277c8b8

12121000120 has 128 divisors (see below), whose sum is σ = 28384344000. Its totient is φ = 4655738880.

The previous prime is 12121000117. The next prime is 12121000123. The reversal of 12121000120 is 2100012121.

It is an interprime number because it is at equal distance from previous prime (12121000117) and next prime (12121000123).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12121000097 and 12121000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121000123) 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, 38725084 + ... + 38725396.

Almost surely, 212121000120 is an apocalyptic number.

12121000120 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 12121000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192172000).

12121000120 is an abundant number, since it is smaller than the sum of its proper divisors (16263343880).

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

12121000120 is a wasteful number, since it uses less digits than its factorization.

12121000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12121000120 its reverse (2100012121), we get a palindrome (14221012241).

The spelling of 12121000120 in words is "twelve billion, one hundred twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 59 61 118 122 236 244 269 295 305 313 472 488 538 590 610 626 1076 1180 1220 1252 1345 1565 2152 2360 2440 2504 2690 3130 3599 5380 6260 7198 10760 12520 14396 15871 16409 17995 18467 19093 28792 31742 32818 35990 36934 38186 63484 65636 71980 73868 76372 79355 82045 84197 92335 95465 126968 131272 143960 147736 152744 158710 164090 168394 184670 190930 317420 328180 336788 369340 381860 420985 634840 656360 673576 738680 763720 841970 968131 1126487 1683940 1936262 2252974 3367880 3872524 4505948 4840655 4967623 5136017 5632435 7745048 9011896 9681310 9935246 10272034 11264870 19362620 19870492 20544068 22529740 24838115 25680085 38725240 39740984 41088136 45059480 49676230 51360170 99352460 102720340 198704920 205440680 303025003 606050006 1212100012 1515125015 2424200024 3030250030 6060500060 12121000120