122251724 has 48 divisors (see below), whose sum is σ = 254607360. Its totient is φ = 50258880.

The previous prime is 122251711. The next prime is 122251729. The reversal of 122251724 is 427152221.

122251724 = T₁₄₁ + T₁₄₂ + ... + T₉₀₂.

It is a super-3 number, since 3×122251724³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122251693 and 122251702.

It is not an unprimeable number, because it can be changed into a prime (122251729) 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, 109682 + ... + 110790.

It is an arithmetic number, because the mean of its divisors is an integer number (5304320).

Almost surely, 2^122251724 is an apocalyptic number.

122251724 is a gapful number since it is divisible by the number (14) 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 122251724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127303680).

122251724 is an abundant number, since it is smaller than the sum of its proper divisors (132355636).

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

122251724 is a wasteful number, since it uses less digits than its factorization.

122251724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1276 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 122251724 is about 11056.7501554480. The cubic root of 122251724 is about 496.3084439032.

The spelling of 122251724 in words is "one hundred twenty-two million, two hundred fifty-one thousand, seven hundred twenty-four".