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122002001 = 1128911329
BaseRepresentation
bin1110100010110…
…01101001010001
322111120100021122
413101121221101
5222213031001
620034532025
73010666652
oct721315121
9274510248
10122002001
1162959a00
1234a37015
131c378244
14122bb529
15aa9db1b
hex7459a51

122002001 has 12 divisors (see below), whose sum is σ = 135620100. Its totient is φ = 109655040.

The previous prime is 122001967. The next prime is 122002009. The reversal of 122002001 is 100200221.

It can be written as a sum of positive squares in 2 ways, for example, as 32718400 + 89283601 = 5720^2 + 9449^2 .

It is a de Polignac number, because none of the positive numbers 2k-122002001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122002001.

It is not an unprimeable number, because it can be changed into a prime (122002009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5105 + ... + 16433.

It is an arithmetic number, because the mean of its divisors is an integer number (11301675).

Almost surely, 2122002001 is an apocalyptic number.

122002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122002001 is a deficient number, since it is larger than the sum of its proper divisors (13618099).

122002001 is a wasteful number, since it uses less digits than its factorization.

122002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11440 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 122002001 is about 11045.4515978298. The cubic root of 122002001 is about 495.9702779298.

Adding to 122002001 its reverse (100200221), we get a palindrome (222202222).

The spelling of 122002001 in words is "one hundred twenty-two million, two thousand, one".

Divisors: 1 11 89 121 979 10769 11329 124619 1008281 1370809 11091091 122002001