142122472128 has 448 divisors, whose sum is σ = 541308544000. Its totient is φ = 35509321728.

The previous prime is 142122472099. The next prime is 142122472133. The reversal of 142122472128 is 821274221241.

142122472128 is a `hidden beast` number, since 1 + 42 + 1 + 22 + 472 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 142122472092 and 142122472101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963928 + ... + 3011496.

It is an arithmetic number, because the mean of its divisors is an integer number (1208278000).

Almost surely, 2^142122472128 is an apocalyptic number.

142122472128 is a gapful number since it is divisible by the number (18) 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 142122472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270654272000).

142122472128 is an abundant number, since it is smaller than the sum of its proper divisors (399186071872).

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

142122472128 is a wasteful number, since it uses less digits than its factorization.

142122472128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47629 (or 47613 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

Adding to 142122472128 its reverse (821274221241), we get a palindrome (963396693369).

The spelling of 142122472128 in words is "one hundred forty-two billion, one hundred twenty-two million, four hundred seventy-two thousand, one hundred twenty-eight".