121820601672 has 768 divisors, whose sum is σ = 441262080000. Its totient is φ = 31099178880.

The previous prime is 121820601659. The next prime is 121820601673. The reversal of 121820601672 is 276106028121.

121820601672 is a `hidden beast` number, since 1 + 21 + 8 + 20 + 601 + 6 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121820601673) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 959217273 + ... + 959217399.

It is an arithmetic number, because the mean of its divisors is an integer number (574560000).

Almost surely, 2^121820601672 is an apocalyptic number.

121820601672 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 121820601672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040000).

121820601672 is an abundant number, since it is smaller than the sum of its proper divisors (319441478328).

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

121820601672 is a wasteful number, since it uses less digits than its factorization.

121820601672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 121820601672 its reverse (276106028121), we get a palindrome (397926629793).

The spelling of 121820601672 in words is "one hundred twenty-one billion, eight hundred twenty million, six hundred one thousand, six hundred seventy-two".