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12102122012020 = 2256183119515327
BaseRepresentation
bin1011000000011011111010…
…1011101111110101110100
31120211221200200122211021221
42300012332223233311310
53041240121213341040
641423345455120124
72356230602543665
oct260067653576564
946757620584257
1012102122012020
113946532412a47
121435580213044
1369a2c0a26331
142dba627b936c
1515ec0d5be74a
hexb01beaefd74

12102122012020 has 48 divisors (see below), whose sum is σ = 26142304785408. Its totient is φ = 4704123231360.

The previous prime is 12102122011963. The next prime is 12102122012021. The reversal of 12102122012020 is 2021022120121.

It is a happy number.

It is a super-2 number, since 2×121021220120202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12102122011985 and 12102122012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102122012021) 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, 59656404 + ... + 59858923.

It is an arithmetic number, because the mean of its divisors is an integer number (544631349696).

Almost surely, 212102122012020 is an apocalyptic number.

12102122012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102122012020 is an abundant number, since it is smaller than the sum of its proper divisors (14040182773388).

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

12102122012020 is a wasteful number, since it uses less digits than its factorization.

12102122012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119515480 (or 119515478 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12102122012020 its reverse (2021022120121), we get a palindrome (14123144132141).

The spelling of 12102122012020 in words is "twelve trillion, one hundred two billion, one hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 61 83 122 166 244 305 332 415 610 830 1220 1660 5063 10126 20252 25315 50630 101260 119515327 239030654 478061308 597576635 1195153270 2390306540 7290434947 9919772141 14580869894 19839544282 29161739788 36452174735 39679088564 49598860705 72904349470 99197721410 145808698940 198395442820 605106100601 1210212201202 2420424402404 3025530503005 6051061006010 12102122012020