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122142132 = 22327484691
BaseRepresentation
bin1110100011110…
…11110110110100
322111211110111200
413101323312310
5222232022012
620041532500
73012122340
oct721736664
9274743450
10122142132
1162a45212
1234aa4130
131c3c6c68
1412316620
15aaca3dc
hex747bdb4

122142132 has 36 divisors (see below), whose sum is σ = 352855776. Its totient is φ = 34897680.

The previous prime is 122142131. The next prime is 122142169. The reversal of 122142132 is 231241221.

It is a happy number.

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 (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122142131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242094 + ... + 242597.

Almost surely, 2122142132 is an apocalyptic number.

122142132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122142132 is an abundant number, since it is smaller than the sum of its proper divisors (230713644).

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

122142132 is a wasteful number, since it uses less digits than its factorization.

122142132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484708 (or 484703 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 122142132 is about 11051.7931576736. The cubic root of 122142132 is about 496.1600950857.

Adding to 122142132 its reverse (231241221), we get a palindrome (353383353).

The spelling of 122142132 in words is "one hundred twenty-two million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 484691 969382 1454073 1938764 2908146 3392837 4362219 5816292 6785674 8724438 10178511 13571348 17448876 20357022 30535533 40714044 61071066 122142132