121542233436 has 288 divisors, whose sum is σ = 359162818560. Its totient is φ = 34355363328.

The previous prime is 121542233389. The next prime is 121542233447. The reversal of 121542233436 is 634332245121.

121542233436 is a `hidden beast` number, since 1 + 215 + 4 + 2 + 2 + 3 + 3 + 436 = 666.

It is a super-2 number, since 2×121542233436² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121542233436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31461241 + ... + 31465103.

It is an arithmetic number, because the mean of its divisors is an integer number (1247093120).

Almost surely, 2^121542233436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121542233436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179581409280).

121542233436 is an abundant number, since it is smaller than the sum of its proper divisors (237620585124).

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

121542233436 is a wasteful number, since it uses less digits than its factorization.

121542233436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 4020 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 121542233436 its reverse (634332245121), we get a palindrome (755874478557).

The spelling of 121542233436 in words is "one hundred twenty-one billion, five hundred forty-two million, two hundred thirty-three thousand, four hundred thirty-six".