1201100040 has 192 divisors, whose sum is σ = 4556597760. Its totient is φ = 268669440.

The previous prime is 1201100027. The next prime is 1201100041. The reversal of 1201100040 is 400011021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1201099995 and 1201100031.

It is not an unprimeable number, because it can be changed into a prime (1201100041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113370 + ... + 123510.

It is an arithmetic number, because the mean of its divisors is an integer number (23732280).

Almost surely, 2^1201100040 is an apocalyptic number.

1201100040 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 1201100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278298880).

1201100040 is an abundant number, since it is smaller than the sum of its proper divisors (3355497720).

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

1201100040 is a wasteful number, since it uses less digits than its factorization.

1201100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10212 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1201100040 is about 34656.8902240233. The cubic root of 1201100040 is about 1062.9831830484.

Adding to 1201100040 its reverse (400011021), we get a palindrome (1601111061).

The spelling of 1201100040 in words is "one billion, two hundred one million, one hundred thousand, forty".