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122002111002020 = 22525169242365829
BaseRepresentation
bin11011101111010111010100…
…011111001111010110100100
3120222222021202212211220021112
4123233113110133033112210
5111442340310404031040
61111250555052004152
734461235021001114
oct3357272437172644
9528867685756245
10122002111002020
1135967894088067
12118249b0160658
13530c999131862
14221ad10031044
15e1884cb20365
hex6ef5d47cf5a4

122002111002020 has 24 divisors (see below), whose sum is σ = 256214613526200. Its totient is φ = 48798905272832.

The previous prime is 122002111002001. The next prime is 122002111002091. The reversal of 122002111002020 is 20200111200221.

It can be written as a sum of positive squares in 4 ways, for example, as 123337225636 + 121878773776384 = 351194^2 + 11039872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122002111001986 and 122002111002004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120679535 + ... + 121686294.

It is an arithmetic number, because the mean of its divisors is an integer number (10675608896925).

Almost surely, 2122002111002020 is an apocalyptic number.

122002111002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002111002020 is an abundant number, since it is smaller than the sum of its proper divisors (134212502524180).

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

122002111002020 is a wasteful number, since it uses less digits than its factorization.

122002111002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242391007 (or 242391005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122002111002020 its reverse (20200111200221), we get a palindrome (142202222202241).

The spelling of 122002111002020 in words is "one hundred twenty-two trillion, two billion, one hundred eleven million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 25169 50338 100676 125845 251690 503380 242365829 484731658 969463316 1211829145 2423658290 4847316580 6100105550101 12200211100202 24400422200404 30500527750505 61001055501010 122002111002020