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212001112120 = 23574716109507
BaseRepresentation
bin1100010101110001000…
…0000100000000111000
3202021012201111100101111
43011130100010000320
511433134241041440
6241220355330104
721213404502040
oct3053420040070
9667181440344
10212001112120
1181a00112386
12351068b0934
1316cb7782c55
14a391d0c720
1557abd644ea
hex315c404038

212001112120 has 64 divisors (see below), whose sum is σ = 556744596480. Its totient is φ = 71139578496.

The previous prime is 212001112109. The next prime is 212001112121. The reversal of 212001112120 is 21211100212.

It is a self number, because there is not a number n which added to its sum of digits gives 212001112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001112121) 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, 8041594 + ... + 8067913.

It is an arithmetic number, because the mean of its divisors is an integer number (8699134320).

Almost surely, 2212001112120 is an apocalyptic number.

212001112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001112120 is an abundant number, since it is smaller than the sum of its proper divisors (344743484360).

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

212001112120 is a wasteful number, since it uses less digits than its factorization.

212001112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16109572 (or 16109568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212001112120 its reverse (21211100212), we get a palindrome (233212212332).

The spelling of 212001112120 in words is "two hundred twelve billion, one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 16109507 32219014 64438028 80547535 112766549 128876056 161095070 225533098 322190140 451066196 563832745 644380280 757146829 902132392 1127665490 1514293658 2255330980 3028587316 3785734145 4510661960 5300027803 6057174632 7571468290 10600055606 15142936580 21200111212 26500139015 30285873160 42400222424 53000278030 106000556060 212001112120