47122629120 has 960 divisors, whose sum is σ = 203813026560. Its totient is φ = 10107224064.

The previous prime is 47122629119. The next prime is 47122629133. The reversal of 47122629120 is 2192622174.

47122629120 is a `hidden beast` number, since 4 + 7 + 1 + 2 + 2 + 629 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139829592 + ... + 139829928.

It is an arithmetic number, because the mean of its divisors is an integer number (212305236).

Almost surely, 2^47122629120 is an apocalyptic number.

47122629120 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 47122629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101906513280).

47122629120 is an abundant number, since it is smaller than the sum of its proper divisors (156690397440).

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

47122629120 is a wasteful number, since it uses less digits than its factorization.

47122629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 47122629120 in words is "forty-seven billion, one hundred twenty-two million, six hundred twenty-nine thousand, one hundred twenty".