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121210012332 = 22339721011181
BaseRepresentation
bin111000011100010101…
…1100000001010101100
3102120212100000121101000
41300320223200022230
53441214230343312
6131403315120300
711520461051103
oct1607053401254
9376770017330
10121210012332
114744a98a312
121b5a8ba3090
13b578aa5bb6
145c1bd2103a
15324631cadc
hex1c38ae02ac

121210012332 has 144 divisors (see below), whose sum is σ = 320936545440. Its totient is φ = 39557376000.

The previous prime is 121210012331. The next prime is 121210012367. The reversal of 121210012332 is 233210012121.

121210012332 is a `hidden beast` number, since 121 + 210 + 0 + 1 + 2 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121210012331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102632782 + ... + 102633962.

It is an arithmetic number, because the mean of its divisors is an integer number (2228726010).

Almost surely, 2121210012332 is an apocalyptic number.

121210012332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121210012332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160468272720).

121210012332 is an abundant number, since it is smaller than the sum of its proper divisors (199726533108).

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

121210012332 is a wasteful number, since it uses less digits than its factorization.

121210012332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121210012332 its reverse (233210012121), we get a palindrome (354420024453).

The spelling of 121210012332 in words is "one hundred twenty-one billion, two hundred ten million, twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 101 108 194 202 291 303 388 404 582 606 873 909 1164 1181 1212 1746 1818 2362 2619 2727 3492 3543 3636 4724 5238 5454 7086 9409 9797 10476 10629 10908 14172 18818 19594 21258 28227 29391 31887 37636 39188 42516 56454 58782 63774 84681 88173 112908 114557 117564 119281 127548 169362 176346 229114 238562 254043 264519 338724 343671 352692 357843 458228 477124 508086 529038 687342 715686 950309 1016172 1031013 1058076 1073529 1374684 1431372 1900618 2062026 2147058 2850927 3093039 3220587 3801236 4124052 4294116 5701854 6186078 6441174 8552781 11112029 11403708 11570257 12372156 12882348 17105562 22224058 23140514 25658343 33336087 34211124 34710771 44448116 46281028 51316686 66672174 69421542 100008261 102633372 104132313 133344348 138843084 200016522 208264626 300024783 312396939 400033044 416529252 600049566 624793878 1122314929 1200099132 1249587756 2244629858 3366944787 4489259716 6733889574 10100834361 13467779148 20201668722 30302503083 40403337444 60605006166 121210012332