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212132221312 = 27111091382221
BaseRepresentation
bin1100010110010000010…
…0001101000110000000
3202021112212012101101111
43011210010031012000
511433421322040222
6241241401413104
721216556062424
oct3054404150600
9667485171344
10212132221312
1181a68121690
123514279a194
131700899955b
14a3a54bab84
1557b8611777
hex316410d180

212132221312 has 64 divisors (see below), whose sum is σ = 465255925200. Its totient is φ = 95539046400.

The previous prime is 212132221237. The next prime is 212132221321. The reversal of 212132221312 is 213122231212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537639 + ... + 844582.

Almost surely, 2212132221312 is an apocalyptic number.

212132221312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212132221312 is an abundant number, since it is smaller than the sum of its proper divisors (253123703888).

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

212132221312 is a wasteful number, since it uses less digits than its factorization.

212132221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382355 (or 1382343 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

Adding to 212132221312 its reverse (213122231212), we get a palindrome (425254452524).

The spelling of 212132221312 in words is "two hundred twelve billion, one hundred thirty-two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 128 176 218 352 436 704 872 1199 1408 1744 2398 3488 4796 6976 9592 13952 19184 38368 76736 153472 1382221 2764442 5528884 11057768 15204431 22115536 30408862 44231072 60817724 88462144 121635448 150662089 176924288 243270896 301324178 486541792 602648356 973083584 1205296712 1657282979 1946167168 2410593424 3314565958 4821186848 6629131916 9642373696 13258263832 19284747392 26516527664 53033055328 106066110656 212132221312