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122002000000122 = 231123580131385383
BaseRepresentation
bin11011101111010111001101…
…110111110011010001111010
3120222222021111010222102022010
4123233113031313303101322
5111442340044000000442
61111250540044510350
734461232202334324
oct3357271567632172
9528867433872263
10122002000000122
1135967837461760
121182497ab4b3b6
13530c97c138468
14221acdd3b8614
15e18842ee5b9c
hex6ef5cddf347a

122002000000122 has 64 divisors (see below), whose sum is σ = 277764482451456. Its totient is φ = 35362263456960.

The previous prime is 122002000000121. The next prime is 122002000000157. The reversal of 122002000000122 is 221000000200221.

It is a junction number, because it is equal to n+sod(n) for n = 122002000000098 and 122002000000107.

It is not an unprimeable number, because it can be changed into a prime (122002000000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87371043 + ... + 88756425.

It is an arithmetic number, because the mean of its divisors is an integer number (4340070038304).

Almost surely, 2122002000000122 is an apocalyptic number.

122002000000122 is an abundant number, since it is smaller than the sum of its proper divisors (155762482451334).

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

122002000000122 is a wasteful number, since it uses less digits than its factorization.

122002000000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443435.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 122002000000122 its reverse (221000000200221), we get a palindrome (343002000200343).

The spelling of 122002000000122 in words is "one hundred twenty-two trillion, two billion, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 58013 116026 174039 348078 638143 1276286 1334299 1385383 1914429 2668598 2770766 3828858 4002897 4156149 8005794 8312298 14677289 15239213 29354578 30478426 31863809 44031867 45717639 63727618 88063734 91435278 95591427 191182854 350501899 701003798 1051505697 2103011394 80370223979 160740447958 241110671937 482221343874 884072463769 1768144927538 1848515151517 2652217391307 3697030303034 5304434782614 5545545454551 11091090909102 20333666666687 40667333333374 61001000000061 122002000000122