1101957120 has 288 divisors, whose sum is σ = 4170216960. Its totient is φ = 266895360.

The previous prime is 1101957091. The next prime is 1101957137. The reversal of 1101957120 is 217591011.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013217 + ... + 1014303.

It is an arithmetic number, because the mean of its divisors is an integer number (14479920).

Almost surely, 2^1101957120 is an apocalyptic number.

1101957120 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 1101957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085108480).

1101957120 is an abundant number, since it is smaller than the sum of its proper divisors (3068259840).

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

1101957120 is a wasteful number, since it uses less digits than its factorization.

1101957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The square root of 1101957120 is about 33195.7394856629. The cubic root of 1101957120 is about 1032.8919636601.

The spelling of 1101957120 in words is "one billion, one hundred one million, nine hundred fifty-seven thousand, one hundred twenty".