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1220012220120 = 23351919322912107
BaseRepresentation
bin10001110000001110011…
…001010001111011011000
311022122001202020020002020
4101300032121101323120
5124442041112020440
62332244343534440
7154100016524061
oct21601631217330
94278052206066
101220012220120
1143044a102291
1217854375a420
138b07b680885
14430982b1568
1521b06a6c3d0
hex11c0e651ed8

1220012220120 has 256 divisors, whose sum is σ = 3889864512000. Its totient is φ = 305252499456.

The previous prime is 1220012220109. The next prime is 1220012220131. The reversal of 1220012220120 is 210222100221.

It is an interprime number because it is at equal distance from previous prime (1220012220109) and next prime (1220012220131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1220012220120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100763107 + ... + 100775213.

It is an arithmetic number, because the mean of its divisors is an integer number (15194783250).

Almost surely, 21220012220120 is an apocalyptic number.

1220012220120 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 1220012220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944932256000).

1220012220120 is an abundant number, since it is smaller than the sum of its proper divisors (2669852291880).

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

1220012220120 is a wasteful number, since it uses less digits than its factorization.

1220012220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12562 (or 12558 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1220012220120 its reverse (210222100221), we get a palindrome (1430234320341).

The spelling of 1220012220120 in words is "one trillion, two hundred twenty billion, twelve million, two hundred twenty thousand, one hundred twenty".