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12220022100000 = 253551113443643
BaseRepresentation
bin1011000111010011001000…
…0100111001000000100000
31121021020000100110212001010
42301310302010321000200
53100203101124200000
641553444535140520
72400603353006631
oct261646204710040
947236010425033
1012220022100000
11399153399a090
1214543a4814740
136a845cb538c0
14303648c99888
15162d0e028d50
hexb1d32139020

12220022100000 has 1152 divisors, whose sum is σ = 47283639653376. Its totient is φ = 2724134400000.

The previous prime is 12220022099993. The next prime is 12220022100007. The reversal of 12220022100000 is 122002221.

It is an interprime number because it is at equal distance from previous prime (12220022099993) and next prime (12220022100007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12220022100007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19004699679 + ... + 19004700321.

It is an arithmetic number, because the mean of its divisors is an integer number (41044826088).

Almost surely, 212220022100000 is an apocalyptic number.

12220022100000 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 12220022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23641819826688).

12220022100000 is an abundant number, since it is smaller than the sum of its proper divisors (35063617553376).

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

12220022100000 is a wasteful number, since it uses less digits than its factorization.

12220022100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12220022100000 its reverse (122002221), we get a palindrome (12220144102221).

The spelling of 12220022100000 in words is "twelve trillion, two hundred twenty billion, twenty-two million, one hundred thousand".