122666700 has 144 divisors (see below), whose sum is σ = 388475136. Its totient is φ = 29702400.

The previous prime is 122666699. The next prime is 122666701. The reversal of 122666700 is 7666221.

It is an interprime number because it is at equal distance from previous prime (122666699) and next prime (122666701).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (122666701) 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, 276679 + ... + 277121.

It is an arithmetic number, because the mean of its divisors is an integer number (2697744).

Almost surely, 2^122666700 is an apocalyptic number.

122666700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 11075×11076.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122666700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194237568).

122666700 is an abundant number, since it is smaller than the sum of its proper divisors (265808436).

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

122666700 is a wasteful number, since it uses less digits than its factorization.

122666700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 122666700 is about 11075.4999887138. The cubic root of 122666700 is about 496.8693725877.

The spelling of 122666700 in words is "one hundred twenty-two million, six hundred sixty-six thousand, seven hundred".