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122145696 = 2532424117
BaseRepresentation
bin1110100011111…
…00101110100000
322111211122101200
413101330232200
5222232130241
620042001200
73012135621
oct721745640
9274748350
10122145696
1162a47962
1234aa6200
131c3c877a
1412317a48
15aacb4b6
hex747cba0

122145696 has 36 divisors (see below), whose sum is σ = 347352642. Its totient is φ = 40715136.

The previous prime is 122145691. The next prime is 122145701. The reversal of 122145696 is 696541221.

It is an interprime number because it is at equal distance from previous prime (122145691) and next prime (122145701).

It can be written as a sum of positive squares in only one way, i.e., 71166096 + 50979600 = 8436^2 + 7140^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 122145696.

It is not an unprimeable number, because it can be changed into a prime (122145691) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 211771 + ... + 212346.

Almost surely, 2122145696 is an apocalyptic number.

122145696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122145696 is an abundant number, since it is smaller than the sum of its proper divisors (225206946).

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

122145696 is a wasteful number, since it uses less digits than its factorization.

122145696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424133 (or 424122 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 122145696 is about 11051.9543973001. The cubic root of 122145696 is about 496.1649208772.

The spelling of 122145696 in words is "one hundred twenty-two million, one hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 424117 848234 1272351 1696468 2544702 3392936 3817053 5089404 6785872 7634106 10178808 13571744 15268212 20357616 30536424 40715232 61072848 122145696