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122301300120 = 23358312279247
BaseRepresentation
bin111000111100110111…
…0011011110110011000
3102200200101110202210020
41301321232123312120
54000433113100440
6132103501150440
711556511620126
oct1617156336630
9380611422706
10122301300120
114795a993a4a
121b85255b420
13b6c0bc620c
145cc2c32916
1532ac0323d0
hex1c79b9bd98

122301300120 has 64 divisors (see below), whose sum is σ = 371324459520. Its totient is φ = 32220741504.

The previous prime is 122301300109. The next prime is 122301300139. The reversal of 122301300120 is 21003103221.

It is a super-2 number, since 2×1223013001202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122301300120.

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, 6129664 + ... + 6149583.

It is an arithmetic number, because the mean of its divisors is an integer number (5801944680).

Almost surely, 2122301300120 is an apocalyptic number.

122301300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122301300120 is an abundant number, since it is smaller than the sum of its proper divisors (249023159400).

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

122301300120 is a wasteful number, since it uses less digits than its factorization.

122301300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12279344 (or 12279340 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 122301300120 its reverse (21003103221), we get a palindrome (143304403341).

The spelling of 122301300120 in words is "one hundred twenty-two billion, three hundred one million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 12279247 24558494 36837741 49116988 61396235 73675482 98233976 122792470 147350964 184188705 245584940 294701928 368377410 491169880 736754820 1019177501 1473509640 2038355002 3057532503 4076710004 5095887505 6115065006 8153420008 10191775010 12230130012 15287662515 20383550020 24460260024 30575325030 40767100040 61150650060 122301300120