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122350140372 = 22347457479991
BaseRepresentation
bin111000111110010100…
…0101111101111010100
3102200210210101010000110
41301330220233233110
54001033113442442
6132112404043020
711560644014415
oct1617450575724
9380723333013
10122350140372
1147985512399
121b866993470
13b6cb066785
145cc950780c
1532b147d69c
hex1c7ca2fbd4

122350140372 has 96 divisors (see below), whose sum is σ = 293101240320. Its totient is φ = 39705050880.

The previous prime is 122350140359. The next prime is 122350140397. The reversal of 122350140372 is 273041053221.

It is a super-3 number, since 3×1223501403723 (a number of 34 digits) contains 333 as substring.

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, 123460797 + ... + 123461787.

It is an arithmetic number, because the mean of its divisors is an integer number (3053137920).

Almost surely, 2122350140372 is an apocalyptic number.

122350140372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122350140372 is an abundant number, since it is smaller than the sum of its proper divisors (170751099948).

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

122350140372 is a wasteful number, since it uses less digits than its factorization.

122350140372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 122350140372 its reverse (273041053221), we get a palindrome (395391193593).

The spelling of 122350140372 in words is "one hundred twenty-two billion, three hundred fifty million, one hundred forty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 457 479 564 914 958 991 1371 1437 1828 1916 1982 2742 2874 2973 3964 5484 5748 5946 11892 21479 22513 42958 45026 46577 64437 67539 85916 90052 93154 128874 135078 139731 186308 218903 257748 270156 279462 437806 452887 474689 558924 656709 875612 905774 949378 1313418 1358661 1424067 1811548 1898756 2626836 2717322 2848134 5434644 5696268 10288441 20576882 21285689 22310383 30865323 41153764 42571378 44620766 61730646 63857067 66931149 85142756 89241532 123461292 127714134 133862298 216932873 255428268 267724596 433865746 650798619 867731492 1301597238 2603194476 10195845031 20391690062 30587535093 40783380124 61175070186 122350140372