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12020102012120 = 2352950957203351
BaseRepresentation
bin1010111011101010010111…
…1010010001110011011000
31120120002222120120010100212
42232322211322101303120
53033414132103341440
641321543021550252
72350265222211566
oct256724572216330
946502876503325
1012020102012120
11391477324a064
1214216aba15388
1369264c263b07
142d7ac165aa36
1515ca0cadc465
hexaeea5e91cd8

12020102012120 has 64 divisors (see below), whose sum is σ = 27978510283200. Its totient is φ = 4642132364800.

The previous prime is 12020102012069. The next prime is 12020102012123. The reversal of 12020102012120 is 2121020102021.

It is a junction number, because it is equal to n+sod(n) for n = 12020102012095 and 12020102012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020102012123) 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, 59008445 + ... + 59211795.

It is an arithmetic number, because the mean of its divisors is an integer number (437164223175).

Almost surely, 212020102012120 is an apocalyptic number.

12020102012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020102012120 is an abundant number, since it is smaller than the sum of its proper divisors (15958408271080).

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

12020102012120 is a wasteful number, since it uses less digits than its factorization.

12020102012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254348 (or 254344 counting only the distinct ones).

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

Adding to 12020102012120 its reverse (2121020102021), we get a palindrome (14141122114141).

The spelling of 12020102012120 in words is "twelve trillion, twenty billion, one hundred two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 50957 101914 203351 203828 254785 406702 407656 509570 813404 1016755 1019140 1477753 1626808 2033510 2038280 2955506 4067020 5897179 5911012 7388765 8134040 11794358 11822024 14777530 23588716 29485895 29555060 47177432 58971790 59110120 117943580 235887160 10362156907 20724313814 41448627628 51810784535 82897255256 103621569070 207243138140 300502550303 414486276280 601005100606 1202010201212 1502512751515 2404020402424 3005025503030 6010051006060 12020102012120