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122547413020 = 225531273972293
BaseRepresentation
bin111001000100001100…
…1010010000000011100
3102201022112120121012211
41302020121102000130
54001434114204040
6132144132210204
711565560552344
oct1621031220034
9381275517184
10122547413020
1147a7690223a
121b900a69964
13b72cba7556
145d077b9d24
1532c39498ea
hex1c8865201c

122547413020 has 96 divisors (see below), whose sum is σ = 265051035648. Its totient is φ = 47574438912.

The previous prime is 122547413011. The next prime is 122547413029. The reversal of 122547413020 is 20314745221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122547413011) and next prime (122547413029).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122547413029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53442994 + ... + 53445286.

It is an arithmetic number, because the mean of its divisors is an integer number (2760948288).

Almost surely, 2122547413020 is an apocalyptic number.

122547413020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122547413020 is an abundant number, since it is smaller than the sum of its proper divisors (142503622628).

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

122547413020 is a wasteful number, since it uses less digits than its factorization.

122547413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 122547413020 in words is "one hundred twenty-two billion, five hundred forty-seven million, four hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 127 212 254 265 397 508 530 635 794 1060 1270 1588 1985 2293 2540 3970 4586 6731 7940 9172 11465 13462 21041 22930 26924 33655 42082 45860 50419 67310 84164 100838 105205 121529 134620 201676 210410 243058 252095 291211 420820 486116 504190 582422 607645 910321 1008380 1164844 1215290 1456055 1820642 2430580 2672207 2912110 3641284 4551605 5344414 5824220 9103210 10688828 13361035 15434183 18206420 26722070 30868366 48247013 53444140 61736732 77170915 96494026 115610767 154341830 192988052 231221534 241235065 308683660 462443068 482470130 578053835 964940260 1156107670 2312215340 6127370651 12254741302 24509482604 30636853255 61273706510 122547413020