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122472144 = 24328310247
BaseRepresentation
bin1110100110011…
…00011011010000
322112110020012100
413103030123100
5222323102034
620053000400
73014665434
oct723143320
9275406170
10122472144
1163150153
1235023100
131c4b1232
14123a09c4
15ab43099
hex74cc6d0

122472144 has 60 divisors (see below), whose sum is σ = 346915296. Its totient is φ = 40328256.

The previous prime is 122472101. The next prime is 122472167. The reversal of 122472144 is 441274221.

It is a congruent number.

It is an unprimeable number.

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, 6829 + ... + 17075.

Almost surely, 2122472144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122472144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173457648).

122472144 is an abundant number, since it is smaller than the sum of its proper divisors (224443152).

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

122472144 is a wasteful number, since it uses less digits than its factorization.

122472144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10344 (or 10335 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 122472144 is about 11066.7133332349. The cubic root of 122472144 is about 496.6065463816.

The spelling of 122472144 in words is "one hundred twenty-two million, four hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3984 5976 10247 11952 20494 30741 40988 61482 81976 92223 122964 163952 184446 245928 368892 491856 737784 850501 1475568 1701002 2551503 3402004 5103006 6804008 7654509 10206012 13608016 15309018 20412024 30618036 40824048 61236072 122472144