122222220212000 has 48 divisors (see below), whose sum is σ = 300299995070712. Its totient is φ = 48888888083200.

The previous prime is 122222220211997. The next prime is 122222220212003. The reversal of 122222220212000 is 212022222221.

It is an interprime number because it is at equal distance from previous prime (122222220211997) and next prime (122222220212003).

It can be written as a sum of positive squares in 4 ways, for example, as 65787088133776 + 56435132078224 = 8110924^2 + 7512332^2 .

It is a super-2 number, since 2×122222220212000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (122222220212003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15277773527 + ... + 15277781526.

Almost surely, 2^{122222220212000} is an apocalyptic number.

122222220212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122222220212000 is an abundant number, since it is smaller than the sum of its proper divisors (178077774858712).

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

122222220212000 is an equidigital number, since it uses as much as digits as its factorization.

122222220212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30555555078 (or 30555555060 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 122222220212000 its reverse (212022222221), we get a palindrome (122434242434221).

The spelling of 122222220212000 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, two hundred twenty million, two hundred twelve thousand".