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10212120001020 = 22357101240738331
BaseRepresentation
bin1001010010011011000111…
…0010001111100111111100
31100011021021012102210010110
42110212301302033213330
52314303410210013040
633415214432510020
72102541565532250
oct224466162174774
940137235383113
1010212120001020
113287a32569393
12118b2163ab310
13590cca436722
142743aab48260
1512a99243d980
hex949b1c8f9fc

10212120001020 has 96 divisors (see below), whose sum is σ = 33002336457216. Its totient is φ = 2311087968000.

The previous prime is 10212120000967. The next prime is 10212120001093. The reversal of 10212120001020 is 2010002121201.

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 = 10212120000987 and 10212120001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120326746 + ... + 120411585.

It is an arithmetic number, because the mean of its divisors is an integer number (343774338096).

Almost surely, 210212120001020 is an apocalyptic number.

10212120001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212120001020 is an abundant number, since it is smaller than the sum of its proper divisors (22790216456196).

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

10212120001020 is a wasteful number, since it uses less digits than its factorization.

10212120001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240738451 (or 240738449 counting only the distinct ones).

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

Adding to 10212120001020 its reverse (2010002121201), we get a palindrome (12222122122221).

The spelling of 10212120001020 in words is "ten trillion, two hundred twelve billion, one hundred twenty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 202 210 303 404 420 505 606 707 1010 1212 1414 1515 2020 2121 2828 3030 3535 4242 6060 7070 8484 10605 14140 21210 42420 240738331 481476662 722214993 962953324 1203691655 1444429986 1685168317 2407383310 2888859972 3370336634 3611074965 4814766620 5055504951 6740673268 7222149930 8425841585 10111009902 14444299860 16851683170 20222019804 24314571431 25277524755 33703366340 48629142862 50555049510 72943714293 97258285724 101110099020 121572857155 145887428586 170202000017 243145714310 291774857172 340404000034 364718571465 486291428620 510606000051 680808000068 729437142930 851010000085 1021212000102 1458874285860 1702020000170 2042424000204 2553030000255 3404040000340 5106060000510 10212120001020