121469829120 has 576 divisors, whose sum is σ = 441132075540. Its totient is φ = 32105299968.

The previous prime is 121469829083. The next prime is 121469829127. The reversal of 121469829120 is 21928964121.

It is a happy number.

121469829120 is a `hidden beast` number, since 1 + 2 + 1 + 469 + 82 + 91 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103303102464 + 18166726656 = 321408^2 + 134784^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (121469829127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1074954184 + ... + 1074954296.

Almost surely, 2^121469829120 is an apocalyptic number.

121469829120 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 121469829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220566037770).

121469829120 is an abundant number, since it is smaller than the sum of its proper divisors (319662246420).

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

121469829120 is an frugal number, since it uses more digits than its factorization.

121469829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

It can be divided in two parts, 12146 and 9829120, that added together give a triangular number (9841266 = T₄₄₃₆).

The spelling of 121469829120 in words is "one hundred twenty-one billion, four hundred sixty-nine million, eight hundred twenty-nine thousand, one hundred twenty".