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1222145120 = 25578313147
BaseRepresentation
bin100100011011000…
…0111010001100000
310011011200101221002
41020312013101200
510000332120440
6321134451132
742200030210
oct11066072140
93134611832
101222145120
11577961799
122a1363aa8
131662790c1
14b8456240
1572462115
hex48d87460

1222145120 has 96 divisors (see below), whose sum is σ = 3339802368. Its totient is φ = 413941248.

The previous prime is 1222145101. The next prime is 1222145137. The reversal of 1222145120 is 215412221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1222145092 and 1222145101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86387 + ... + 99533.

It is an arithmetic number, because the mean of its divisors is an integer number (34789608).

Almost surely, 21222145120 is an apocalyptic number.

1222145120 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 1222145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669901184).

1222145120 is an abundant number, since it is smaller than the sum of its proper divisors (2117657248).

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

1222145120 is a wasteful number, since it uses less digits than its factorization.

1222145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13252 (or 13244 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1222145120 is about 34959.1922103472. The cubic root of 1222145120 is about 1069.1556269781.

Adding to 1222145120 its reverse (215412221), we get a palindrome (1437557341).

The spelling of 1222145120 in words is "one billion, two hundred twenty-two million, one hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 83 112 140 160 166 224 280 332 415 560 581 664 830 1120 1162 1328 1660 2324 2656 2905 3320 4648 5810 6640 9296 11620 13147 13280 18592 23240 26294 46480 52588 65735 92029 92960 105176 131470 184058 210352 262940 368116 420704 460145 525880 736232 920290 1051760 1091201 1472464 1840580 2103520 2182402 2944928 3681160 4364804 5456005 7362320 7638407 8729608 10912010 14724640 15276814 17459216 21824020 30553628 34918432 38192035 43648040 61107256 76384070 87296080 122214512 152768140 174592160 244429024 305536280 611072560 1222145120