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122433890894028 = 223272222593118153
BaseRepresentation
bin11011110101101001011100…
…100100110100000011001100
3121001111120021100220001110200
4123311221130210310003030
5112021424102032102103
61112221204125333500
734534361644346400
oct3365513444640314
9531446240801420
10122433890894028
1136013a1562371a
1211894612407290
13534160a80470c
142233b90b9d100
15e24bbe5280a3
hex6f5a5c9340cc

122433890894028 has 108 divisors (see below), whose sum is σ = 360030230403480. Its totient is φ = 34979528916864.

The previous prime is 122433890893973. The next prime is 122433890894033. The reversal of 122433890894028 is 820498098334221.

122433890894028 is a `hidden beast` number, since 1 + 2 + 2 + 433 + 8 + 90 + 8 + 94 + 0 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37705800 + ... + 40823952.

Almost surely, 2122433890894028 is an apocalyptic number.

122433890894028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122433890894028 is an abundant number, since it is smaller than the sum of its proper divisors (237596339509452).

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

122433890894028 is a wasteful number, since it uses less digits than its factorization.

122433890894028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140436 (or 3140424 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 122433890894028 in words is "one hundred twenty-two trillion, four hundred thirty-three billion, eight hundred ninety million, eight hundred ninety-four thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 22259 44518 66777 89036 133554 155813 200331 267108 311626 400662 467439 623252 801324 934878 1090691 1402317 1869756 2181382 2804634 3118153 3272073 4362764 5609268 6236306 6544146 9354459 9816219 12472612 13088292 18708918 19632438 21827071 28063377 37417836 39264876 43654142 56126754 65481213 87308284 112253508 130962426 152789497 196443639 261924852 305578994 392887278 458368491 611157988 785774556 916736982 1375105473 1833473964 2750210946 5500421892 69406967627 138813935254 208220902881 277627870508 416441805762 485848773389 624662708643 832883611524 971697546778 1249325417286 1457546320167 1943395093556 2498650834572 2915092640334 3400941413723 4372638960501 5830185280668 6801882827446 8745277921002 10202824241169 13603765654892 17490555842004 20405648482338 30608472723507 40811296964676 61216945447014 122433890894028