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1220112012 = 22372931107151
BaseRepresentation
bin100100010111001…
…0110111010001100
310011000212010000210
41020232112322030
54444322041022
6321023122420
742143531610
oct11056267214
93130763023
101220112012
115767a3239
122a0743410
13165a16892
14b8087340
15721aea0c
hex48b96e8c

1220112012 has 192 divisors, whose sum is σ = 3530096640. Its totient is φ = 320544000.

The previous prime is 1220112007. The next prime is 1220112013. The reversal of 1220112012 is 2102110221.

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 (1220112013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8080137 + ... + 8080287.

It is an arithmetic number, because the mean of its divisors is an integer number (18385920).

Almost surely, 21220112012 is an apocalyptic number.

1220112012 is a gapful number since it is divisible by the number (12) 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 1220112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765048320).

1220112012 is an abundant number, since it is smaller than the sum of its proper divisors (2309984628).

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

1220112012 is a wasteful number, since it uses less digits than its factorization.

1220112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1220112012 is about 34930.1018034589. The cubic root of 1220112012 is about 1068.5624308290.

Adding to 1220112012 its reverse (2102110221), we get a palindrome (3322222233).

The spelling of 1220112012 in words is "one billion, two hundred twenty million, one hundred twelve thousand, twelve".