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1220211012120 = 2335174871228219
BaseRepresentation
bin10001110000011010001…
…111100111001000011000
311022122120121021220102220
4101300122033213020120
5124442443004341440
62332320204424040
7154104652320432
oct21603217471030
94278517256386
101220211012120
1143054133a6a1
1217859a248020
138b0b0904089
14430b685b652
1521b192388d0
hex11c1a3e7218

1220211012120 has 128 divisors (see below), whose sum is σ = 3883926412800. Its totient is φ = 305619941376.

The previous prime is 1220211012107. The next prime is 1220211012157. The reversal of 1220211012120 is 212101120221.

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 1220211012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379371 + ... + 1607589.

It is an arithmetic number, because the mean of its divisors is an integer number (30343175100).

Almost surely, 21220211012120 is an apocalyptic number.

1220211012120 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 1220211012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941963206400).

1220211012120 is an abundant number, since it is smaller than the sum of its proper divisors (2663715400680).

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

1220211012120 is a wasteful number, since it uses less digits than its factorization.

1220211012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228737 (or 1228733 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1220211012120 its reverse (212101120221), we get a palindrome (1432312132341).

The spelling of 1220211012120 in words is "one trillion, two hundred twenty billion, two hundred eleven million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 487 510 680 974 1020 1461 1948 2040 2435 2922 3896 4870 5844 7305 8279 9740 11688 14610 16558 19480 24837 29220 33116 41395 49674 58440 66232 82790 99348 124185 165580 198696 248370 331160 496740 993480 1228219 2456438 3684657 4912876 6141095 7369314 9825752 12282190 14738628 18423285 20879723 24564380 29477256 36846570 41759446 49128760 62639169 73693140 83518892 104398615 125278338 147386280 167037784 208797230 250556676 313195845 417594460 501113352 598142653 626391690 835188920 1196285306 1252783380 1794427959 2392570612 2505566760 2990713265 3588855918 4785141224 5981426530 7177711836 8972139795 10168425101 11962853060 14355423672 17944279590 20336850202 23925706120 30505275303 35888559180 40673700404 50842125505 61010550606 71777118360 81347400808 101684251010 122021101212 152526376515 203368502020 244042202424 305052753030 406737004040 610105506060 1220211012120