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122012311300 = 225211234822621
BaseRepresentation
bin111000110100010000…
…0000001111100000100
3102122221020200121122121
41301220200001330010
53444340122430200
6132015055135324
711546402351125
oct1615040017404
9378836617577
10122012311300
1147821850410
121b791814544
13b676082309
145c966c804c
15329199ae1a
hex1c68801f04

122012311300 has 72 divisors (see below), whose sum is σ = 301394584512. Its totient is φ = 42439056000.

The previous prime is 122012311249. The next prime is 122012311313. The reversal of 122012311300 is 3113210221.

It is a super-3 number, since 3×1220123113003 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2386011 + ... + 2436610.

It is an arithmetic number, because the mean of its divisors is an integer number (4186035896).

Almost surely, 2122012311300 is an apocalyptic number.

122012311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012311300 is an abundant number, since it is smaller than the sum of its proper divisors (179382273212).

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

122012311300 is a wasteful number, since it uses less digits than its factorization.

122012311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822669 (or 4822662 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122012311300 its reverse (3113210221), we get a palindrome (125125521521).

The spelling of 122012311300 in words is "one hundred twenty-two billion, twelve million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 25300 4822621 9645242 19290484 24113105 48226210 53048831 96452420 106097662 110920283 120565525 212195324 221840566 241131050 265244155 443681132 482262100 530488310 554601415 1060976620 1109202830 1220123113 1326220775 2218405660 2440246226 2652441550 2773007075 4880492452 5304883100 5546014150 6100615565 11092028300 12201231130 24402462260 30503077825 61006155650 122012311300