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122002122 = 2311315277
BaseRepresentation
bin1110100010110…
…01101011001010
322111120100110010
413101121223022
5222213031442
620034532350
73011000214
oct721315312
9274510403
10122002122
116295a000
1234a370b6
131c378308
14122bb5b4
15aa9db9c
hex7459aca

122002122 has 32 divisors (see below), whose sum is σ = 268403904. Its totient is φ = 36967920.

The previous prime is 122002121. The next prime is 122002123. The reversal of 122002122 is 221200221.

It is an interprime number because it is at equal distance from previous prime (122002121) and next prime (122002123).

It is a junction number, because it is equal to n+sod(n) for n = 122002098 and 122002107.

It is not an unprimeable number, because it can be changed into a prime (122002121) 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, 348 + ... + 15624.

It is an arithmetic number, because the mean of its divisors is an integer number (8387622).

Almost surely, 2122002122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134201952).

122002122 is an abundant number, since it is smaller than the sum of its proper divisors (146401782).

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

122002122 is a wasteful number, since it uses less digits than its factorization.

122002122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15315 (or 15293 counting only the distinct ones).

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

The square root of 122002122 is about 11045.4570751961. The cubic root of 122002122 is about 495.9704418954.

Adding to 122002122 its reverse (221200221), we get a palindrome (343202343).

The spelling of 122002122 in words is "one hundred twenty-two million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 7986 15277 30554 45831 91662 168047 336094 504141 1008282 1848517 3697034 5545551 11091102 20333687 40667374 61001061 122002122