122205405201054 has 160 divisors (see below), whose sum is σ = 289277122901760. Its totient is φ = 34411533238656.

The previous prime is 122205405201037. The next prime is 122205405201071. The reversal of 122205405201054 is 450102504502221.

It is an interprime number because it is at equal distance from previous prime (122205405201037) and next prime (122205405201071).

It is a super-2 number, since 2×122205405201054² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 274110727 + ... + 274556189.

It is an arithmetic number, because the mean of its divisors is an integer number (1807982018136).

Almost surely, 2^{122205405201054} is an apocalyptic number.

122205405201054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122205405201054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144638561450880).

122205405201054 is an abundant number, since it is smaller than the sum of its proper divisors (167071717700706).

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

122205405201054 is a wasteful number, since it uses less digits than its factorization.

122205405201054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445772 (or 445751 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

Adding to 122205405201054 its reverse (450102504502221), we get a palindrome (572307909703275).

The spelling of 122205405201054 in words is "one hundred twenty-two trillion, two hundred five billion, four hundred five million, two hundred one thousand, fifty-four".