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122001220120 = 235131713801043
BaseRepresentation
bin111000110011111010…
…1101110001000011000
3102122220110211010102011
41301213311232020120
53444324303020440
6132014021315304
711546206155253
oct1614765561030
9378813733364
10122001220120
114781656544a
121b789b65b34
13b67399aba0
145c9503c09a
153290a099ea
hex1c67d6e218

122001220120 has 64 divisors (see below), whose sum is σ = 313007677920. Its totient is φ = 42396801024.

The previous prime is 122001220057. The next prime is 122001220139. The reversal of 122001220120 is 21022100221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 122001220120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6891682 + ... + 6909361.

Almost surely, 2122001220120 is an apocalyptic number.

122001220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001220120 is an abundant number, since it is smaller than the sum of its proper divisors (191006457800).

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

122001220120 is a wasteful number, since it uses less digits than its factorization.

122001220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13801084 (or 13801080 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122001220120 its reverse (21022100221), we get a palindrome (143023320341).

The spelling of 122001220120 in words is "one hundred twenty-two billion, one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 13801043 27602086 55204172 69005215 110408344 138010430 179413559 234617731 276020860 358827118 469235462 552041720 717654236 897067795 938470924 1173088655 1435308472 1794135590 1876941848 2346177310 3050030503 3588271180 4692354620 6100061006 7176542360 9384709240 12200122012 15250152515 24400244024 30500305030 61000610060 122001220120