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122143143320240 = 2457284337671113
BaseRepresentation
bin11011110001011010101010…
…101010110101101010110000
3121000110202210200000222101212
4123301122222222311222300
5112002143124142221430
61111435441352015252
734504356645633410
oct3361325252655260
9530422720028355
10122143143320240
1135a11686159159
12118481ab691528
135320083837c23
142223a8c7c0640
15e1c3542a8b95
hex6f16aaab5ab0

122143143320240 has 80 divisors (see below), whose sum is σ = 324563237748288. Its totient is φ = 41876170825728.

The previous prime is 122143143320173. The next prime is 122143143320243. The reversal of 122143143320240 is 42023341341221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 122143143320197 and 122143143320206.

It is not an unprimeable number, because it can be changed into a prime (122143143320243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12086924 + ... + 19758036.

Almost surely, 2122143143320240 is an apocalyptic number.

122143143320240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122143143320240 is an abundant number, since it is smaller than the sum of its proper divisors (202420094428048).

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

122143143320240 is a wasteful number, since it uses less digits than its factorization.

122143143320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699566 (or 7699560 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 122143143320240 its reverse (42023341341221), we get a palindrome (164166484661461).

The spelling of 122143143320240 in words is "one hundred twenty-two trillion, one hundred forty-three billion, one hundred forty-three million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 28433 56866 113732 142165 199031 227464 284330 398062 454928 568660 796124 995155 1137320 1592248 1990310 2274640 3184496 3980620 7671113 7961240 15342226 15922480 30684452 38355565 53697791 61368904 76711130 107395582 122737808 153422260 214791164 268488955 306844520 429582328 536977910 613689040 859164656 1073955820 2147911640 4295823280 218112755929 436225511858 872451023716 1090563779645 1526789291503 1744902047432 2181127559290 3053578583006 3489804094864 4362255118580 6107157166012 7633946457515 8724510237160 12214314332024 15267892915030 17449020474320 24428628664048 30535785830060 61071571660120 122143143320240