122011211210040 has 128 divisors (see below), whose sum is σ = 407418809256000. Its totient is φ = 32479141238784.

The previous prime is 122011211210039. The next prime is 122011211210089. The reversal of 122011211210040 is 40012112110221.

122011211210040 is a `hidden beast` number, since 1 + 2 + 201 + 1 + 211 + 210 + 0 + 40 = 666.

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 = 122011211209995 and 122011211210022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98659069 + ... + 99888108.

Almost surely, 2^{122011211210040} is an apocalyptic number.

122011211210040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122011211210040 is an abundant number, since it is smaller than the sum of its proper divisors (285407598045960).

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

122011211210040 is a wasteful number, since it uses less digits than its factorization.

122011211210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198547766 (or 198547756 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122011211210040 its reverse (40012112110221), we get a palindrome (162023323320261).

The spelling of 122011211210040 in words is "one hundred twenty-two trillion, eleven billion, two hundred eleven million, two hundred ten thousand, forty".