122048537600 has 594 divisors, whose sum is σ = 351989506386. Its totient is φ = 41902080000.

The previous prime is 122048537591. The next prime is 122048537609. The reversal of 122048537600 is 6735840221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122048537591) and next prime (122048537609).

It can be written as a sum of positive squares in 3 ways, for example, as 119071744 + 121929465856 = 10912^2 + 349184^2 .

It is a super-2 number, since 2×122048537600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122048537609) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2976793580 + ... + 2976793620.

Almost surely, 2^122048537600 is an apocalyptic number.

122048537600 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 122048537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175994753193).

122048537600 is an abundant number, since it is smaller than the sum of its proper divisors (229940968786).

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

122048537600 is a wasteful number, since it uses less digits than its factorization.

122048537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 122048537600 in words is "one hundred twenty-two billion, forty-eight million, five hundred thirty-seven thousand, six hundred".