141121177680 has 320 divisors, whose sum is σ = 503407779840. Its totient is φ = 32035627008.

The previous prime is 141121177661. The next prime is 141121177727. The reversal of 141121177680 is 86771121141.

It is a congruent number.

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, 304797129 + ... + 304797591.

It is an arithmetic number, because the mean of its divisors is an integer number (1573149312).

Almost surely, 2^141121177680 is an apocalyptic number.

141121177680 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 141121177680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251703889920).

141121177680 is an abundant number, since it is smaller than the sum of its proper divisors (362286602160).

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

141121177680 is a wasteful number, since it uses less digits than its factorization.

141121177680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 39.

It can be divided in two parts, 141121 and 177680, that added together give a triangular number (318801 = T₇₉₈).

The spelling of 141121177680 in words is "one hundred forty-one billion, one hundred twenty-one million, one hundred seventy-seven thousand, six hundred eighty".