42152010120 has 192 divisors, whose sum is σ = 154441728000. Its totient is φ = 10218637440.

The previous prime is 42152010073. The next prime is 42152010127. The reversal of 42152010120 is 2101025124.

42152010120 is a `hidden beast` number, since 4 + 21 + 520 + 1 + 0 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42152010093 and 42152010102.

It is not an unprimeable number, because it can be changed into a prime (42152010127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30600 + ... + 291959.

It is an arithmetic number, because the mean of its divisors is an integer number (804384000).

Almost surely, 2^42152010120 is an apocalyptic number.

42152010120 is a gapful number since it is divisible by the number (40) 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 42152010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220864000).

42152010120 is an abundant number, since it is smaller than the sum of its proper divisors (112289717880).

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

42152010120 is a wasteful number, since it uses less digits than its factorization.

42152010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322601 (or 322580 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 42152010120 its reverse (2101025124), we get a palindrome (44253035244).

The spelling of 42152010120 in words is "forty-two billion, one hundred fifty-two million, ten thousand, one hundred twenty".