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121323102032 = 241161101127881
BaseRepresentation
bin111000011111101101…
…0111001111101010000
3102121011012211011021102
41300333122321331100
53441432203231112
6131422435043532
711523333231506
oct1607732717520
9377135734242
10121323102032
11474a8801280
121b61aa405a8
13b596350692
145c2cd5c676
15325120abc2
hex1c3f6b9f50

121323102032 has 160 divisors (see below), whose sum is σ = 265591001088. Its totient is φ = 53222400000.

The previous prime is 121323102007. The next prime is 121323102041. The reversal of 121323102032 is 230201323121.

It is a junction number, because it is equal to n+sod(n) for n = 121323101995 and 121323102013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137710232 + ... + 137711112.

Almost surely, 2121323102032 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 121323102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132795500544).

121323102032 is an abundant number, since it is smaller than the sum of its proper divisors (144267899056).

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

121323102032 is a wasteful number, since it uses less digits than its factorization.

121323102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 121323102032 its reverse (230201323121), we get a palindrome (351524425153).

Subtracting 121323102032 from its reverse (230201323121), we obtain a square (108878221089 = 3299672).

The spelling of 121323102032 in words is "one hundred twenty-one billion, three hundred twenty-three million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 61 88 101 122 127 176 202 244 254 404 488 508 671 808 881 976 1016 1111 1342 1397 1616 1762 2032 2222 2684 2794 3524 4444 5368 5588 6161 7048 7747 8888 9691 10736 11176 12322 12827 14096 15494 17776 19382 22352 24644 25654 30988 38764 49288 51308 53741 61976 67771 77528 85217 88981 98576 102616 107482 111887 123952 135542 141097 155056 170434 177962 205232 214964 223774 271084 282194 340868 355924 429928 447548 542168 564388 591151 681736 711848 782447 859856 895096 978791 1084336 1128776 1182302 1230757 1363472 1423696 1564894 1790192 1957582 2257552 2364604 2461514 3129788 3915164 4729208 4923028 5427841 6259576 6825107 7830328 8606917 9458416 9846056 10855682 11300587 12519152 13650214 15660656 17213834 19692112 21711364 22601174 27300428 34427668 43422728 45202348 54600856 59706251 68855336 75076177 86845456 90404696 109201712 119412502 124306457 137710672 150152354 180809392 238825004 248612914 300304708 477650008 497225828 600609416 689335807 955300016 994451656 1201218832 1378671614 1988903312 2757343228 5514686456 7582693877 11029372912 15165387754 30330775508 60661551016 121323102032