121220609400 has 384 divisors, whose sum is σ = 463229280000. Its totient is φ = 28887897600.

The previous prime is 121220609357. The next prime is 121220609401. The reversal of 121220609400 is 4906022121.

121220609400 is a `hidden beast` number, since 1 + 2 + 12 + 2 + 0 + 609 + 40 + 0 = 666.

It is a super-2 number, since 2×121220609400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220609401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3487306 + ... + 3521894.

It is an arithmetic number, because the mean of its divisors is an integer number (1206326250).

Almost surely, 2^121220609400 is an apocalyptic number.

121220609400 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 121220609400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231614640000).

121220609400 is an abundant number, since it is smaller than the sum of its proper divisors (342008670600).

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

121220609400 is a wasteful number, since it uses less digits than its factorization.

121220609400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34684 (or 34669 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 121220609400 in words is "one hundred twenty-one billion, two hundred twenty million, six hundred nine thousand, four hundred".