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122130001320 = 23354124823171
BaseRepresentation
bin111000110111110000…
…0111110110110101000
3102200020110010220000020
41301233200332312220
54000110240020240
6132034501440440
711552331611535
oct1615740766650
9380213126006
10122130001320
1147882224698
121b805110120
13b69457a992
145ca81a1d8c
15329be970d0
hex1c6f83eda8

122130001320 has 64 divisors (see below), whose sum is σ = 375326360640. Its totient is φ = 31773657600.

The previous prime is 122130001319. The next prime is 122130001337. The reversal of 122130001320 is 23100031221.

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 122130001320.

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, 12406666 + ... + 12416505.

It is an arithmetic number, because the mean of its divisors is an integer number (5864474385).

Almost surely, 2122130001320 is an apocalyptic number.

122130001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122130001320 is an abundant number, since it is smaller than the sum of its proper divisors (253196359320).

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

122130001320 is a wasteful number, since it uses less digits than its factorization.

122130001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24823226 (or 24823222 counting only the distinct ones).

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

Adding to 122130001320 its reverse (23100031221), we get a palindrome (145230032541).

The spelling of 122130001320 in words is "one hundred twenty-two billion, one hundred thirty million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 24823171 49646342 74469513 99292684 124115855 148939026 198585368 248231710 297878052 372347565 496463420 595756104 744695130 992926840 1017750011 1489390260 2035500022 2978780520 3053250033 4071000044 5088750055 6106500066 8142000088 10177500110 12213000132 15266250165 20355000220 24426000264 30532500330 40710000440 61065000660 122130001320