122600720 has 80 divisors (see below), whose sum is σ = 313694208. Its totient is φ = 44190720.

The previous prime is 122600683. The next prime is 122600729. The reversal of 122600720 is 27006221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122600692 and 122600701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122600729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111212 + ... + 112308.

Almost surely, 2^122600720 is an apocalyptic number.

122600720 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 122600720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156847104).

122600720 is an abundant number, since it is smaller than the sum of its proper divisors (191093488).

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

122600720 is a wasteful number, since it uses less digits than its factorization.

122600720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 122600720 is about 11072.5209415020. The cubic root of 122600720 is about 496.7802711966.

Adding to 122600720 its reverse (27006221), we get a palindrome (149606941).

The spelling of 122600720 in words is "one hundred twenty-two million, six hundred thousand, seven hundred twenty".