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12220122221010 = 23251170121798081
BaseRepresentation
bin1011000111010011100000…
…0010110100100111010010
31121021020021022212112020200
42301310320002310213102
53100203302242033020
641553502513120030
72400606010014624
oct261647002644722
947236238775220
1012220122221010
113991585463520
121454412259016
136a847780a4c2
143036582bcc14
15162d17c04590
hexb1d380b49d2

12220122221010 has 192 divisors, whose sum is σ = 34730381612160. Its totient is φ = 2956504320000.

The previous prime is 12220122220981. The next prime is 12220122221053. The reversal of 12220122221010 is 1012222102221.

It is a happy number.

12220122221010 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 222 + 210 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1512200170 + ... + 1512208250.

It is an arithmetic number, because the mean of its divisors is an integer number (180887404230).

Almost surely, 212220122221010 is an apocalyptic number.

12220122221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220122221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365190806080).

12220122221010 is an abundant number, since it is smaller than the sum of its proper divisors (22510259391150).

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

12220122221010 is a wasteful number, since it uses less digits than its factorization.

12220122221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10985 (or 10982 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12220122221010 its reverse (1012222102221), we get a palindrome (13232344323231).

It can be divided in two parts, 12 and 220122221010, that added together give a palindrome (220122221022).

The spelling of 12220122221010 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, ten".