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120400100110422 = 2321118122714799847
BaseRepresentation
bin11011011000000011010101…
…001100101011000001010110
3120210022010200222201112121200
4123120003111030223001112
5111240113401112013142
61104023013054453330
734234422502050246
oct3330032514530126
9523263628645550
10120400100110422
11353aa439762aa0
1211606419b04246
1352248b0719b42
1421a3578651b26
15ddbd39c2664c
hex6d80d532b056

120400100110422 has 96 divisors (see below), whose sum is σ = 287414942540544. Its totient is φ = 36123464116800.

The previous prime is 120400100110307. The next prime is 120400100110463. The reversal of 120400100110422 is 224011001004021.

120400100110422 is a `hidden beast` number, since 12 + 0 + 400 + 100 + 110 + 42 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120400100110395 and 120400100110404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735303 + ... + 15535149.

It is an arithmetic number, because the mean of its divisors is an integer number (2993905651464).

Almost surely, 2120400100110422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120400100110422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143707471270272).

120400100110422 is an abundant number, since it is smaller than the sum of its proper divisors (167014842430122).

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

120400100110422 is a wasteful number, since it uses less digits than its factorization.

120400100110422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14800274 (or 14800271 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120400100110422 its reverse (224011001004021), we get a palindrome (344411101114443).

The spelling of 120400100110422 in words is "one hundred twenty trillion, four hundred billion, one hundred million, one hundred ten thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 181 198 227 362 454 543 681 1086 1362 1629 1991 2043 2497 3258 3982 4086 4994 5973 7491 11946 14982 17919 22473 35838 41087 44946 82174 123261 246522 369783 451957 739566 903914 1355871 2711742 4067613 8135226 14799847 29599694 44399541 88799082 133198623 162798317 266397246 325596634 488394951 976789902 1465184853 2678772307 2930369706 3359565269 5357544614 6719130538 8036316921 10078695807 16072633842 20157391614 24108950763 29466495377 30236087421 36955217959 48217901526 58932990754 60472174842 73910435918 88399486131 110865653877 176798972262 221731307754 265198458393 332596961631 530396916786 608081313689 665193923262 1216162627378 1824243941067 3648487882134 5472731823201 6688894450579 10945463646402 13377788901158 20066683351737 40133366703474 60200050055211 120400100110422