121243632 has 80 divisors (see below), whose sum is σ = 321006240. Its totient is φ = 39424000.

The previous prime is 121243627. The next prime is 121243657. The reversal of 121243632 is 236342121.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431332 + ... + 431612.

It is an arithmetic number, because the mean of its divisors is an integer number (4012578).

Almost surely, 2^121243632 is an apocalyptic number.

121243632 is a gapful number since it is divisible by the number (12) 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 121243632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160503120).

121243632 is an abundant number, since it is smaller than the sum of its proper divisors (199762608).

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

121243632 is a wasteful number, since it uses less digits than its factorization.

121243632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 121243632 is about 11011.0686129912. The cubic root of 121243632 is about 494.9404846311.

Adding to 121243632 its reverse (236342121), we get a palindrome (357585753).

It can be divided in two parts, 1212 and 43632, that multiplied together give a square (52881984 = 7272²).

The spelling of 121243632 in words is "one hundred twenty-one million, two hundred forty-three thousand, six hundred thirty-two".