41234122131000 has 128 divisors (see below), whose sum is σ = 128703579264000. Its totient is φ = 10991225884800.

The previous prime is 41234122130983. The next prime is 41234122131077. The reversal of 41234122131000 is 13122143214.

It is a super-2 number, since 2×41234122131000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4432701 + ... + 10105299.

It is an arithmetic number, because the mean of its divisors is an integer number (1005496713000).

Almost surely, 2^{41234122131000} is an apocalyptic number.

41234122131000 is a gapful number since it is divisible by the number (40) 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 41234122131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64351789632000).

41234122131000 is an abundant number, since it is smaller than the sum of its proper divisors (87469457133000).

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

41234122131000 is a wasteful number, since it uses less digits than its factorization.

41234122131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675046 (or 5675032 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41234122131000 its reverse (13122143214), we get a palindrome (41247244274214).

The spelling of 41234122131000 in words is "forty-one trillion, two hundred thirty-four billion, one hundred twenty-two million, one hundred thirty-one thousand".