122111020 has 48 divisors (see below), whose sum is σ = 263483136. Its totient is φ = 47520000.

The previous prime is 122110987. The next prime is 122111021. The reversal of 122111020 is 20111221.

It is a super-2 number, since 2×122111020² = 29822202410880800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 122110988 and 122111006.

It is not an unprimeable number, because it can be changed into a prime (122111021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122725 + ... + 123715.

It is an arithmetic number, because the mean of its divisors is an integer number (5489232).

Almost surely, 2^122111020 is an apocalyptic number.

122111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111020 is an abundant number, since it is smaller than the sum of its proper divisors (141372116).

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

122111020 is a wasteful number, since it uses less digits than its factorization.

122111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 122111020 is about 11050.3855136371. The cubic root of 122111020 is about 496.1179642679.

Adding to 122111020 its reverse (20111221), we get a palindrome (142222241).

It can be divided in two parts, 12211 and 1020, that added together give a palindrome (13231).

The spelling of 122111020 in words is "one hundred twenty-two million, one hundred eleven thousand, twenty".