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1220012040 = 2335131941161
BaseRepresentation
bin100100010110111…
…1110100000001000
310011000200000220010
41020231332200020
54444310341130
6321021031520
742142634262
oct11055764010
93130600803
101220012040
11576735115
122a06b55a0
131659b0220
14b805cb32
15721900b0
hex48b7e808

1220012040 has 128 divisors (see below), whose sum is σ = 4149129600. Its totient is φ = 284497920.

The previous prime is 1220012029. The next prime is 1220012051. The reversal of 1220012040 is 402100221.

It is an interprime number because it is at equal distance from previous prime (1220012029) and next prime (1220012051).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9060 + ... + 50220.

It is an arithmetic number, because the mean of its divisors is an integer number (32415075).

Almost surely, 21220012040 is an apocalyptic number.

1220012040 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 1220012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074564800).

1220012040 is an abundant number, since it is smaller than the sum of its proper divisors (2929117560).

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

1220012040 is a wasteful number, since it uses less digits than its factorization.

1220012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41207 (or 41203 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1220012040 is about 34928.6707448194. The cubic root of 1220012040 is about 1068.5332451914.

Adding to 1220012040 its reverse (402100221), we get a palindrome (1622112261).

The spelling of 1220012040 in words is "one billion, two hundred twenty million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4940 5928 7410 9880 14820 29640 41161 82322 123483 164644 205805 246966 329288 411610 493932 535093 617415 782059 823220 987864 1070186 1234830 1564118 1605279 1646440 2140372 2346177 2469660 2675465 3128236 3210558 3910295 4280744 4692354 4939320 5350930 6256472 6421116 7820590 8026395 9384708 10166767 10701860 11730885 12842232 15641180 16052790 18769416 20333534 21403720 23461770 30500301 31282360 32105580 40667068 46923540 50833835 61000602 64211160 81334136 93847080 101667670 122001204 152501505 203335340 244002408 305003010 406670680 610006020 1220012040