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12020100120120 = 2335231143343791
BaseRepresentation
bin1010111011101010010111…
…0011000011111000111000
31120120002222110000000000210
42232322211303003320320
53033414131112320440
641321542513231120
72350265200141551
oct256724563037070
946502873000023
1012020100120120
113914772177624
1214216ab2624a0
1369264ba508a1
142d7ac12c7328
1515ca0c866a80
hexaeea5cc3e38

12020100120120 has 64 divisors (see below), whose sum is σ = 36075904957440. Its totient is φ = 3203972956800.

The previous prime is 12020100120089. The next prime is 12020100120139. The reversal of 12020100120120 is 2102100102021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12020100120096 and 12020100120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21394576 + ... + 21949215.

It is an arithmetic number, because the mean of its divisors is an integer number (563686014960).

Almost surely, 212020100120120 is an apocalyptic number.

12020100120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020100120120 is an abundant number, since it is smaller than the sum of its proper divisors (24055804837320).

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

12020100120120 is a wasteful number, since it uses less digits than its factorization.

12020100120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43346116 (or 43346112 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12020100120120 its reverse (2102100102021), we get a palindrome (14122200222141).

The spelling of 12020100120120 in words is "twelve trillion, twenty billion, one hundred million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2311 4622 6933 9244 11555 13866 18488 23110 27732 34665 46220 55464 69330 92440 138660 277320 43343791 86687582 130031373 173375164 216718955 260062746 346750328 433437910 520125492 650156865 866875820 1040250984 1300313730 1733751640 2600627460 5201254920 100167501001 200335002002 300502503003 400670004004 500837505005 601005006006 801340008008 1001675010010 1202010012012 1502512515015 2003350020020 2404020024024 3005025030030 4006700040040 6010050060060 12020100120120