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122104240440 = 233571311181707
BaseRepresentation
bin111000110110111111…
…0101101100100111000
3102200011122200002201120
41301231332231210320
54000032141143230
6132032141345240
711551566630120
oct1615576554470
9380148602646
10122104240440
114786972a106
121b7b8568220
13b68c12b360
145ca49b7c80
153299aa9310
hex1c6dfad938

122104240440 has 128 divisors (see below), whose sum is σ = 450846466560. Its totient is φ = 25762650624.

The previous prime is 122104240397. The next prime is 122104240469. The reversal of 122104240440 is 44042401221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122104240440.

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, 5579934 + ... + 5601773.

It is an arithmetic number, because the mean of its divisors is an integer number (3522238020).

Almost surely, 2122104240440 is an apocalyptic number.

122104240440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122104240440 is an abundant number, since it is smaller than the sum of its proper divisors (328742226120).

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

122104240440 is a wasteful number, since it uses less digits than its factorization.

122104240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11181741 (or 11181737 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 122104240440 its reverse (44042401221), we get a palindrome (166146641661).

The spelling of 122104240440 in words is "one hundred twenty-two billion, one hundred four million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 11181707 22363414 33545121 44726828 55908535 67090242 78271949 89453656 111817070 134180484 145362191 156543898 167725605 223634140 234815847 268360968 290724382 313087796 335451210 391359745 436086573 447268280 469631694 581448764 626175592 670902420 726810955 782719490 872173146 939263388 1017535337 1162897528 1174079235 1341804840 1453621910 1565438980 1744346292 1878526776 2035070674 2180432865 2348158470 2907243820 3052606011 3130877960 3488692584 4070141348 4360865730 4696316940 5087676685 5814487640 6105212022 8140282696 8721731460 9392633880 10175353370 12210424044 15263030055 17443462920 20350706740 24420848088 30526060110 40701413480 61052120220 122104240440