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990121212 = 2233173197269
BaseRepresentation
bin111011000001000…
…000110011111100
32120000002100222000
4323001000303330
54011432334322
6242125422300
733351614523
oct7301006374
92500070860
10990121212
114689967a3
1223770a990
1312a18b852
14956d94ba
155bdce3ac
hex3b040cfc

990121212 has 96 divisors (see below), whose sum is σ = 2604571200. Its totient is φ = 325253376.

The previous prime is 990121211. The next prime is 990121247. The reversal of 990121212 is 212121099.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990121211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3680614 + ... + 3680882.

It is an arithmetic number, because the mean of its divisors is an integer number (27130950).

Almost surely, 2990121212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302285600).

990121212 is an abundant number, since it is smaller than the sum of its proper divisors (1614449988).

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

990121212 is a wasteful number, since it uses less digits than its factorization.

990121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 990121212 is about 31466.1915712722. The cubic root of 990121212 is about 996.6961673775.

It can be divided in two parts, 9901 and 21212, that multiplied together give a palindrome (210020012).

The spelling of 990121212 in words is "nine hundred ninety million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 197 269 346 394 519 538 591 692 788 807 1038 1076 1182 1557 1614 1773 2076 2364 2421 3114 3228 3546 4671 4842 5319 6228 7092 7263 9342 9684 10638 14526 18684 21276 29052 34081 46537 52993 68162 93074 102243 105986 136324 139611 158979 186148 204486 211972 279222 306729 317958 408972 418833 476937 558444 613458 635916 837666 920187 953874 1226916 1256499 1430811 1675332 1840374 1907748 2512998 2861622 3680748 5025996 5723244 9167789 18335578 27503367 36671156 55006734 82510101 110013468 165020202 247530303 330040404 495060606 990121212