122210200096 has 48 divisors (see below), whose sum is σ = 246411799704. Its totient is φ = 59641380864.

The previous prime is 122210200093. The next prime is 122210200153. The reversal of 122210200096 is 690002012221.

It can be written as a sum of positive squares in 4 ways, for example, as 122094336400 + 115863696 = 349420^2 + 10764^2 .

It is a super-3 number, since 3×122210200096³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122210200096.

It is not an unprimeable number, because it can be changed into a prime (122210200093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140650 + ... + 514006.

Almost surely, 2^122210200096 is an apocalyptic number.

122210200096 is a gapful number since it is divisible by the number (16) 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 122210200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123205899852).

122210200096 is an abundant number, since it is smaller than the sum of its proper divisors (124201599608).

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

122210200096 is a wasteful number, since it uses less digits than its factorization.

122210200096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373613 (or 373605 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 122210200096 in words is "one hundred twenty-two billion, two hundred ten million, two hundred thousand, ninety-six".