141221516083200 has 4284 divisors, whose sum is σ = 648042202882560. Its totient is φ = 30339508469760.

The previous prime is 141221516083199. The next prime is 141221516083211. The reversal of 141221516083200 is 2380615122141.

141221516083200 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 2 + 15 + 1 + 608 + 32 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1111980441537 + ... + 1111980441663.

Almost surely, 2^{141221516083200} is an apocalyptic number.

141221516083200 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 141221516083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324021101441280).

141221516083200 is an abundant number, since it is smaller than the sum of its proper divisors (506820686799360).

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

141221516083200 is an frugal number, since it uses more digits than its factorization.

141221516083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 141221516083200 in words is "one hundred forty-one trillion, two hundred twenty-one billion, five hundred sixteen million, eighty-three thousand, two hundred".