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122002116 = 22319228163
BaseRepresentation
bin1110100010110…
…01101011000100
322111120100102220
413101121223010
5222213031431
620034532340
73011000205
oct721315304
9274510386
10122002116
1162959aa5
1234a370b0
131c378302
14122bb5ac
15aa9db96
hex7459ac4

122002116 has 36 divisors (see below), whose sum is σ = 300453552. Its totient is φ = 38525616.

The previous prime is 122002103. The next prime is 122002117. The reversal of 122002116 is 611200221.

122002116 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

122002116 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 122002095 and 122002104.

It is not an unprimeable number, because it can be changed into a prime (122002117) 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, 9750 + ... + 18413.

It is an arithmetic number, because the mean of its divisors is an integer number (8345932).

Almost surely, 2122002116 is an apocalyptic number.

It is an amenable number.

122002116 is an abundant number, since it is smaller than the sum of its proper divisors (178451436).

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

122002116 is a wasteful number, since it uses less digits than its factorization.

122002116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28208 (or 28187 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 122002116 is about 11045.4568035912. The cubic root of 122002116 is about 495.9704337648.

Adding to 122002116 its reverse (611200221), we get a palindrome (733202337).

The spelling of 122002116 in words is "one hundred twenty-two million, two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 2166 4332 28163 56326 84489 112652 168978 337956 535097 1070194 1605291 2140388 3210582 6421164 10166843 20333686 30500529 40667372 61001058 122002116