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122369981472 = 253468712
BaseRepresentation
bin111000111110111010…
…0011011110000100000
3102200212011201010220000
41301331310123300200
54001103203401342
6132114353220000
711561304452244
oct1617564336040
9380764633800
10122369981472
11479957342a2
121b871561600
13b7021c277b
145ccbdd0424
1532b309c44c
hex1c7dd1bc20

122369981472 has 90 divisors (see below), whose sum is σ = 359939101599. Its totient is φ = 40784057280.

The previous prime is 122369981449. The next prime is 122369981483. The reversal of 122369981472 is 274189963221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122369981472 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 6 + 99 + 81 + 472 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61184990736 + 61184990736 = 247356^2 + 247356^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247356.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17806197 + ... + 17813067.

Almost surely, 2122369981472 is an apocalyptic number.

122369981472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122369981472

122369981472 is an abundant number, since it is smaller than the sum of its proper divisors (237569120127).

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

122369981472 is an frugal number, since it uses more digits than its factorization.

122369981472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13764 (or 6876 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 122369981472 in words is "one hundred twenty-two billion, three hundred sixty-nine million, nine hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 6871 13742 20613 27484 41226 54968 61839 82452 109936 123678 164904 185517 219872 247356 329808 371034 494712 556551 659616 742068 989424 1113102 1484136 1978848 2226204 2968272 4452408 5936544 8904816 17809632 47210641 94421282 141631923 188842564 283263846 377685128 424895769 566527692 755370256 849791538 1133055384 1274687307 1510740512 1699583076 2266110768 2549374614 3399166152 3824061921 4532221536 5098749228 6798332304 7648123842 10197498456 13596664608 15296247684 20394996912 30592495368 40789993824 61184990736 122369981472