122111202301020 has 480 divisors, whose sum is σ = 423369498359808. Its totient is φ = 29305739409408.

The previous prime is 122111202301013. The next prime is 122111202301091. The reversal of 122111202301020 is 20103202111221.

122111202301020 is a `hidden beast` number, since 1 + 2 + 211 + 120 + 230 + 102 + 0 = 666.

It is a super-2 number, since 2×122111202301020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122111202300984 and 122111202301002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2117494227 + ... + 2117551893.

Almost surely, 2^{122111202301020} is an apocalyptic number.

122111202301020 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 122111202301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211684749179904).

122111202301020 is an abundant number, since it is smaller than the sum of its proper divisors (301258296058788).

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

122111202301020 is a wasteful number, since it uses less digits than its factorization.

122111202301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61071 (or 61060 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122111202301020 its reverse (20103202111221), we get a palindrome (142214404412241).

The spelling of 122111202301020 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred two million, three hundred one thousand, twenty".