121001011320 has 128 divisors (see below), whose sum is σ = 436695436800. Its totient is φ = 26201719296.

The previous prime is 121001011291. The next prime is 121001011337. The reversal of 121001011320 is 23110100121.

It is a super-3 number, since 3×121001011320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121001011296 and 121001011305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3774799 + ... + 3806718.

It is an arithmetic number, because the mean of its divisors is an integer number (3411683100).

Almost surely, 2^121001011320 is an apocalyptic number.

121001011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121001011320 is an abundant number, since it is smaller than the sum of its proper divisors (315694425480).

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

121001011320 is a wasteful number, since it uses less digits than its factorization.

121001011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7581557 (or 7581553 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 121001011320 its reverse (23110100121), we get a palindrome (144111111441).

The spelling of 121001011320 in words is "one hundred twenty-one billion, one million, eleven thousand, three hundred twenty".