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122002200221121 = 32113733306633967
BaseRepresentation
bin11011101111010111011001…
…110011100101010111000001
3120222222022000002201200212200
4123233113121303211113001
5111442341001224033441
61111251012000143413
734461240153232113
oct3357273163452701
9528868002650780
10122002200221121
113596792a485760
1211824a16007b69
13530c9b176c21c
14221ad1bc173b3
15e188558957b6
hex6ef5d9ce55c1

122002200221121 has 24 divisors (see below), whose sum is σ = 197441726162304. Its totient is φ = 71942329366560.

The previous prime is 122002200221101. The next prime is 122002200221159. The reversal of 122002200221121 is 121122002200221.

It is a happy number.

122002200221121 is a `hidden beast` number, since 1 + 2 + 200 + 220 + 0 + 221 + 1 + 21 = 666.

It is not a de Polignac number, because 122002200221121 - 219 = 122002199696833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122002200221094 and 122002200221103.

It is not an unprimeable number, because it can be changed into a prime (122002200221101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16653313321 + ... + 16653320646.

It is an arithmetic number, because the mean of its divisors is an integer number (8226738590096).

Almost surely, 2122002200221121 is an apocalyptic number.

122002200221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122002200221121 is a deficient number, since it is larger than the sum of its proper divisors (75439525941183).

122002200221121 is a wasteful number, since it uses less digits than its factorization.

122002200221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33306634021 (or 33306634018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122002200221121 its reverse (121122002200221), we get a palindrome (243124202421342).

It can be divided in two parts, 122002200221 and 121, that multiplied together give a palindrome (14762266226741).

The spelling of 122002200221121 in words is "one hundred twenty-two trillion, two billion, two hundred million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 33306633967 99919901901 299759705703 366372973637 1099118920911 1232345456779 3297356762733 3697036370337 11091109111011 13555800024569 40667400073707 122002200221121