122871600 has 240 divisors, whose sum is σ = 452669440. Its totient is φ = 31622400.

The previous prime is 122871587. The next prime is 122871607. The reversal of 122871600 is 6178221.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (122871607) 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, 334617 + ... + 334983.

Almost surely, 2^122871600 is an apocalyptic number.

122871600 is a gapful number since it is divisible by the number (10) 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 122871600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226334720).

122871600 is an abundant number, since it is smaller than the sum of its proper divisors (329797840).

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

122871600 is a wasteful number, since it uses less digits than its factorization.

122871600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 122871600 is about 11084.7462758513. The cubic root of 122871600 is about 497.1458722426.

The spelling of 122871600 in words is "one hundred twenty-two million, eight hundred seventy-one thousand, six hundred".