122072580 has 288 divisors, whose sum is σ = 462309120. Its totient is φ = 25436160.

The previous prime is 122072557. The next prime is 122072591. The reversal of 122072580 is 85270221.

122072580 is a `hidden beast` number, since 12 + 2 + 0 + 72 + 580 = 666.

It is a super-3 number, since 3×122072580³ (a number of 25 digits) contains 333 as substring.

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, 878151 + ... + 878289.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^122072580 is an apocalyptic number.

122072580 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 122072580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

122072580 is an abundant number, since it is smaller than the sum of its proper divisors (340236540).

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

122072580 is a wasteful number, since it uses less digits than its factorization.

122072580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 122072580 is about 11048.6460708994. The cubic root of 122072580 is about 496.0659002363.

The spelling of 122072580 in words is "one hundred twenty-two million, seventy-two thousand, five hundred eighty".