114001020 has 168 divisors, whose sum is σ = 410583264. Its totient is φ = 26034048.

The previous prime is 114000977. The next prime is 114001051. The reversal of 114001020 is 20100411.

It is a happy number.

It is a super-2 number, since 2×114001020² = 25992465122080800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 114000993 and 114001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 101502 + ... + 102618.

It is an arithmetic number, because the mean of its divisors is an integer number (2443948).

Almost surely, 2^114001020 is an apocalyptic number.

114001020 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 114001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205291632).

114001020 is an abundant number, since it is smaller than the sum of its proper divisors (296582244).

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

114001020 is a wasteful number, since it uses less digits than its factorization.

114001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1134 counting only the distinct ones).

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

The square root of 114001020 is about 10677.1260178009. The cubic root of 114001020 is about 484.8822047153.

Adding to 114001020 its reverse (20100411), we get a palindrome (134101431).

The spelling of 114001020 in words is "one hundred fourteen million, one thousand, twenty".