122311145213040 has 160 divisors (see below), whose sum is σ = 433348598914560. Its totient is φ = 27955692260352.

The previous prime is 122311145213027. The next prime is 122311145213063. The reversal of 122311145213040 is 40312541113221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122311145212989 and 122311145213007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40037887 + ... + 42984353.

It is an arithmetic number, because the mean of its divisors is an integer number (2708428743216).

Almost surely, 2^{122311145213040} is an apocalyptic number.

122311145213040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122311145213040 is an abundant number, since it is smaller than the sum of its proper divisors (311037453701520).

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

122311145213040 is a wasteful number, since it uses less digits than its factorization.

122311145213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971199 (or 2971193 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 122311145213040 its reverse (40312541113221), we get a palindrome (162623686326261).

The spelling of 122311145213040 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred forty-five million, two hundred thirteen thousand, forty".