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122030113440 = 2535919276637
BaseRepresentation
bin111000110100110001…
…1111100001010100000
3102122222111012001121010
41301221203330022200
53444404202112230
6132020532500520
711550006564324
oct1615143741240
9378874161533
10122030113440
11478308aa424
121b79777a740
13b679976221
145c98bdd984
1532933159b0
hex1c698fc2a0

122030113440 has 96 divisors (see below), whose sum is σ = 384814523520. Its totient is φ = 32505836544.

The previous prime is 122030113427. The next prime is 122030113477. The reversal of 122030113440 is 44311030221.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302802 + ... + 579438.

It is an arithmetic number, because the mean of its divisors is an integer number (4008484620).

Almost surely, 2122030113440 is an apocalyptic number.

122030113440 is a gapful number since it is divisible by the number (10) 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 122030113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192407261760).

122030113440 is an abundant number, since it is smaller than the sum of its proper divisors (262784410080).

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

122030113440 is a wasteful number, since it uses less digits than its factorization.

122030113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277574 (or 277566 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122030113440 its reverse (44311030221), we get a palindrome (166341143661).

The spelling of 122030113440 in words is "one hundred twenty-two billion, thirty million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 919 1838 2757 3676 4595 5514 7352 9190 11028 13785 14704 18380 22056 27570 29408 36760 44112 55140 73520 88224 110280 147040 220560 276637 441120 553274 829911 1106548 1383185 1659822 2213096 2766370 3319644 4149555 4426192 5532740 6639288 8299110 8852384 11065480 13278576 16598220 22130960 26557152 33196440 44261920 66392880 132785760 254229403 508458806 762688209 1016917612 1271147015 1525376418 2033835224 2542294030 3050752836 3813441045 4067670448 5084588060 6101505672 7626882090 8135340896 10169176120 12203011344 15253764180 20338352240 24406022688 30507528360 40676704480 61015056720 122030113440