122240619837504 has 315 divisors, whose sum is σ = 421539440965533. Its totient is φ = 34924299282432.

The previous prime is 122240619837493. The next prime is 122240619837509. The reversal of 122240619837504 is 405738916042221.

It is a happy number.

The square root of 122240619837504 is 11056248.

It is a perfect power (a square), and thus also a powerful number.

122240619837504 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 40 + 6 + 1 + 98 + 3 + 7 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19738116417600 + 102502503419904 = 4442760^2 + 10124352^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (122240619837509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5572338024 + ... + 5572359960.

It is a 2-persistent number, because it is pandigital, and so is 2⋅122240619837504 = 244481239675008, but 3⋅122240619837504 = 366721859512512 is not.

Almost surely, 2^{122240619837504} is an apocalyptic number.

122240619837504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

122240619837504 is the 11056248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122240619837504

122240619837504 is an abundant number, since it is smaller than the sum of its proper divisors (299298821128029).

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

122240619837504 is an frugal number, since it uses more digits than its factorization.

122240619837504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43912 (or 21949 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 122240619837504 in words is "one hundred twenty-two trillion, two hundred forty billion, six hundred nineteen million, eight hundred thirty-seven thousand, five hundred four".