122202071040 has 896 divisors, whose sum is σ = 484437708288. Its totient is φ = 25669140480.

The previous prime is 122202070987. The next prime is 122202071053. The reversal of 122202071040 is 40170202221.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122202070998 and 122202071016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 891985852 + ... + 891985988.

Almost surely, 2^122202071040 is an apocalyptic number.

122202071040 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 122202071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242218854144).

122202071040 is an abundant number, since it is smaller than the sum of its proper divisors (362235637248).

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

122202071040 is a wasteful number, since it uses less digits than its factorization.

122202071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 122202071040 its reverse (40170202221), we get a palindrome (162372273261).

The spelling of 122202071040 in words is "one hundred twenty-two billion, two hundred two million, seventy-one thousand, forty".