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1220037120 = 2933519929
BaseRepresentation
bin100100010111000…
…0100101000000000
310011000201022022000
41020232010220000
54444312141440
6321021344000
742143100351
oct11056045000
93130638260
101220037120
11576751a45
122a0708000
131659bb773
14b8067d28
1572197730
hex48b84a00

1220037120 has 320 divisors, whose sum is σ = 4566672000. Its totient is φ = 307888128.

The previous prime is 1220037107. The next prime is 1220037127. The reversal of 1220037120 is 217300221.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 1220037093 and 1220037102.

It is not an unprimeable number, because it can be changed into a prime (1220037127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1312816 + ... + 1313744.

It is an arithmetic number, because the mean of its divisors is an integer number (14270850).

Almost surely, 21220037120 is an apocalyptic number.

1220037120 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 1220037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283336000).

1220037120 is an abundant number, since it is smaller than the sum of its proper divisors (3346634880).

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

1220037120 is an equidigital number, since it uses as much as digits as its factorization.

1220037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1220037120 is about 34929.0297603584. The cubic root of 1220037120 is about 1068.5405671492.

Adding to 1220037120 its reverse (217300221), we get a palindrome (1437337341).

The spelling of 1220037120 in words is "one billion, two hundred twenty million, thirty-seven thousand, one hundred twenty".