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123121202020332 = 2231913119603210283
BaseRepresentation
bin11011111111101001100011…
…100000101011111111101100
3121010221021100021000212210120
4123333221203200223333230
5112114204210204122312
61113505033244204540
734635133106465145
oct3377514340537754
9533837307025716
10123121202020332
113625945486073a
1211985869539750
135391383194b69
142259152ba6acc
15e379e963928c
hex6ffa6382bfec

123121202020332 has 96 divisors (see below), whose sum is σ = 304728365061120. Its totient is φ = 38581431071040.

The previous prime is 123121202020283. The next prime is 123121202020339. The reversal of 123121202020332 is 233020202121321.

It is not an unprimeable number, because it can be changed into a prime (123121202020339) 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, 585397263 + ... + 585607545.

It is an arithmetic number, because the mean of its divisors is an integer number (3174253802720).

Almost surely, 2123121202020332 is an apocalyptic number.

123121202020332 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 123121202020332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152364182530560).

123121202020332 is an abundant number, since it is smaller than the sum of its proper divisors (181607163040788).

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

123121202020332 is a wasteful number, since it uses less digits than its factorization.

123121202020332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230043 (or 230041 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 123121202020332 its reverse (233020202121321), we get a palindrome (356141404141653).

The spelling of 123121202020332 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, two hundred two million, twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 131 228 262 393 524 786 1572 2489 4978 7467 9956 14934 19603 29868 39206 58809 78412 117618 210283 235236 372457 420566 630849 744914 841132 1117371 1261698 1489828 2234742 2523396 2567993 3995377 4469484 5135986 7703979 7990754 10271972 11986131 15407958 15981508 23972262 27547073 30815916 47944524 48791867 55094146 82641219 97583734 110188292 146375601 165282438 195167468 292751202 330564876 523394387 585502404 1046788774 1570183161 2093577548 3140366322 4122177649 6280732644 8244355298 12366532947 16488710596 24733065894 49466131788 78321375331 156642750662 234964125993 313285501324 469928251986 540005272019 939856503972 1080010544038 1620015816057 2160021088076 3240031632114 6480063264228 10260100168361 20520200336722 30780300505083 41040400673444 61560601010166 123121202020332