42129612 has 144 divisors (see below), whose sum is σ = 134064000. Its totient is φ = 11376288.

The previous prime is 42129559. The next prime is 42129641. The reversal of 42129612 is 21692124.

42129612 is a `hidden beast` number, since 4 + 21 + 29 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100339 + ... + 100757.

It is an arithmetic number, because the mean of its divisors is an integer number (931000).

Almost surely, 2^42129612 is an apocalyptic number.

42129612 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42129612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032000).

42129612 is an abundant number, since it is smaller than the sum of its proper divisors (91934388).

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

42129612 is a wasteful number, since it uses less digits than its factorization.

42129612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 42129612 is about 6490.7327783541. The cubic root of 42129612 is about 347.9598645746.

It can be divided in two parts, 4212 and 9612, that added together give a cube (13824 = 24³).

The spelling of 42129612 in words is "forty-two million, one hundred twenty-nine thousand, six hundred twelve".