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122001100112320 = 26511132666107957
BaseRepresentation
bin11011101111010110011000…
…001111000000000111000000
3120222222012011102200101022021
4123233112120033000013000
5111442331223112043240
61111250310501051224
734461200664403612
oct3357263017000700
9528865142611267
10122001100112320
11359674154a6730
12118247696b6b14
13530c867880b80
14221ac55a8adb2
15e187ddedc54a
hex6ef5983c01c0

122001100112320 has 112 divisors (see below), whose sum is σ = 341304476351328. Its totient is φ = 40951418204160.

The previous prime is 122001100112263. The next prime is 122001100112383. The reversal of 122001100112320 is 23211001100221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122001100112294 and 122001100112303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1333008219 + ... + 1333099738.

It is an arithmetic number, because the mean of its divisors is an integer number (3047361395994).

Almost surely, 2122001100112320 is an apocalyptic number.

122001100112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001100112320 is an abundant number, since it is smaller than the sum of its proper divisors (219303376239008).

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

122001100112320 is a wasteful number, since it uses less digits than its factorization.

122001100112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666107998 (or 2666107988 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 122001100112320 its reverse (23211001100221), we get a palindrome (145212101212541).

The spelling of 122001100112320 in words is "one hundred twenty-two trillion, one billion, one hundred million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 130 143 160 176 208 220 260 286 320 352 416 440 520 572 704 715 832 880 1040 1144 1430 1760 2080 2288 2860 3520 4160 4576 5720 9152 11440 22880 45760 2666107957 5332215914 10664431828 13330539785 21328863656 26661079570 29327187527 34659403441 42657727312 53322159140 58654375054 69318806882 85315454624 106644318280 117308750108 138637613764 146635937635 170630909248 173297017205 213288636560 234617500216 277275227528 293271875270 346594034410 381253437851 426577273120 469235000432 554550455056 586543750540 693188068820 762506875702 853154546240 938470000864 1109100910112 1173087501080 1386376137640 1525013751404 1876940001728 1906267189255 2218201820224 2346175002160 2772752275280 3050027502808 3812534378510 4692350004320 5545504550560 6100055005616 7625068757020 9384700008640 11091009101120 12200110011232 15250137514040 24400220022464 30500275028080 61000550056160 122001100112320