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122020010000 = 245471743143
BaseRepresentation
bin111000110100011110…
…1011001100000010000
3102122221210011202021122
41301220331121200100
53444344110310000
6132015532141412
711546524654250
oct1615075314020
9378853152248
10122020010000
1147826129579
121b794307868
13b677849565
145c9772d960
1532924bc085
hex1c68f59810

122020010000 has 100 divisors (see below), whose sum is σ = 337626075072. Its totient is φ = 41835408000.

The previous prime is 122020009981. The next prime is 122020010009. The reversal of 122020010000 is 10020221.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 122020010000.

It is not an unprimeable number, because it can be changed into a prime (122020010009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 801572 + ... + 941571.

Almost surely, 2122020010000 is an apocalyptic number.

122020010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020010000 is an abundant number, since it is smaller than the sum of its proper divisors (215606065072).

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

122020010000 is an equidigital number, since it uses as much as digits as its factorization.

122020010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743178 (or 1743157 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 122020010000 its reverse (10020221), we get a palindrome (122030030221).

The spelling of 122020010000 in words is "one hundred twenty-two billion, twenty million, ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 1743143 3486286 6972572 8715715 12202001 13945144 17431430 24404002 27890288 34862860 43578575 48808004 61010005 69725720 87157150 97616008 122020010 139451440 174314300 195232016 217892875 244040020 305050025 348628600 435785750 488080040 610100050 697257200 871571500 976160080 1089464375 1220200100 1525250125 1743143000 2178928750 2440400200 3050500250 3486286000 4357857500 4880800400 6101000500 7626250625 8715715000 12202001000 15252501250 17431430000 24404002000 30505002500 61010005000 122020010000