121400305152 has 240 divisors, whose sum is σ = 384236835840. Its totient is φ = 33946816512.

The previous prime is 121400305141. The next prime is 121400305153. The reversal of 121400305152 is 251503004121.

It is a happy number.

It is a super-4 number, since 4×121400305152⁴ (a number of 45 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121400305153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3520249 + ... + 3554567.

It is an arithmetic number, because the mean of its divisors is an integer number (1600986816).

Almost surely, 2^121400305152 is an apocalyptic number.

121400305152 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 121400305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192118417920).

121400305152 is an abundant number, since it is smaller than the sum of its proper divisors (262836530688).

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

121400305152 is an equidigital number, since it uses as much as digits as its factorization.

121400305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34401 (or 34378 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 121400305152 its reverse (251503004121), we get a palindrome (372903309273).

The spelling of 121400305152 in words is "one hundred twenty-one billion, four hundred million, three hundred five thousand, one hundred fifty-two".