11907221901120 has 2240 divisors, whose sum is σ = 53482659664896. Its totient is φ = 2448029122560.

The previous prime is 11907221901119. The next prime is 11907221901187. The reversal of 11907221901120 is 2110912270911.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16244504274 + ... + 16244505006.

Almost surely, 2^{11907221901120} is an apocalyptic number.

11907221901120 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 11907221901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26741329832448).

11907221901120 is an abundant number, since it is smaller than the sum of its proper divisors (41575437763776).

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

11907221901120 is a wasteful number, since it uses less digits than its factorization.

11907221901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 11907221901120 in words is "eleven trillion, nine hundred seven billion, two hundred twenty-one million, nine hundred one thousand, one hundred twenty".