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122120191820 = 22511737603997
BaseRepresentation
bin111000110111011101…
…1100011111101001100
3102200012202200111220102
41301232323203331030
54000100232114240
6132033511310232
711552152334444
oct1615673437514
9380182614812
10122120191820
1147877734670
121b80197b378
13b692524a43
145ca6b6b124
15329b1aa815
hex1c6eee3f4c

122120191820 has 48 divisors (see below), whose sum is σ = 283598709408. Its totient is φ = 43799016960.

The previous prime is 122120191819. The next prime is 122120191867. The reversal of 122120191820 is 28191021221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3785939 + ... + 3818058.

It is an arithmetic number, because the mean of its divisors is an integer number (5908306446).

Almost surely, 2122120191820 is an apocalyptic number.

122120191820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122120191820 is an abundant number, since it is smaller than the sum of its proper divisors (161478517588).

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

122120191820 is a wasteful number, since it uses less digits than its factorization.

122120191820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7604090 (or 7604088 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 122120191820 in words is "one hundred twenty-two billion, one hundred twenty million, one hundred ninety-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 8030 16060 7603997 15207994 30415988 38019985 76039970 83643967 152079940 167287934 334575868 418219835 555091781 836439670 1110183562 1672879340 2220367124 2775458905 5550917810 6106009591 11101835620 12212019182 24424038364 30530047955 61060095910 122120191820