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122214131114140 = 22513716620483809
BaseRepresentation
bin11011110010011100110001…
…110111110010000010011100
3121000201120000221002112202201
4123302130301313302002130
5112004324020031123030
61111532221410501244
734512452046135562
oct3362346167620234
9530646027075681
10122214131114140
1135a397a399741a
1211859b01294824
1353269878079c0
1422272a4687a32
15e1e10b4892ca
hex6f2731df209c

122214131114140 has 48 divisors (see below), whose sum is σ = 280284802580160. Its totient is φ = 44489651189760.

The previous prime is 122214131114083. The next prime is 122214131114177. The reversal of 122214131114140 is 41411131412221.

It is a junction number, because it is equal to n+sod(n) for n = 122214131114099 and 122214131114108.

It is a congruent number.

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, 3310223445 + ... + 3310260364.

It is an arithmetic number, because the mean of its divisors is an integer number (5839266720420).

Almost surely, 2122214131114140 is an apocalyptic number.

122214131114140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122214131114140 is an abundant number, since it is smaller than the sum of its proper divisors (158070671466020).

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

122214131114140 is a wasteful number, since it uses less digits than its factorization.

122214131114140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620483902 (or 6620483900 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 122214131114140 its reverse (41411131412221), we get a palindrome (163625262526361).

The spelling of 122214131114140 in words is "one hundred twenty-two trillion, two hundred fourteen billion, one hundred thirty-one million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 710 923 1420 1846 3692 4615 9230 18460 6620483809 13240967618 26481935236 33102419045 66204838090 86066289517 132409676180 172132579034 344265158068 430331447585 470054350439 860662895170 940108700878 1721325790340 1880217401756 2350271752195 4700543504390 6110706555707 9401087008780 12221413111414 24442826222828 30553532778535 61107065557070 122214131114140