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1220122110000 = 2435440670737
BaseRepresentation
bin10001110000010100111…
…100011110100000110000
311022122100102000012122210
4101300110330132200300
5124442302230010000
62332303311132120
7154102522546533
oct21602474364060
94278312005583
101220122110000
114304a6139172
12178574514040
138b098377a81
14430a8b18a1a
1521b11527350
hex11c14f1e830

1220122110000 has 100 divisors (see below), whose sum is σ = 3938716950872. Its totient is φ = 325365888000.

The previous prime is 1220122109981. The next prime is 1220122110019. The reversal of 1220122110000 is 112210221.

It is an interprime number because it is at equal distance from previous prime (1220122109981) and next prime (1220122110019).

It is a tau number, because it is divible by the number of its divisors (100).

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 (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20305369 + ... + 20365368.

Almost surely, 21220122110000 is an apocalyptic number.

1220122110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220122110000 is an abundant number, since it is smaller than the sum of its proper divisors (2718594840872).

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

1220122110000 is an equidigital number, since it uses as much as digits as its factorization.

1220122110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40670768 (or 40670747 counting only the distinct ones).

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

Adding to 1220122110000 its reverse (112210221), we get a palindrome (1220234320221).

It can be divided in two parts, 12201221 and 10000, that added together give a palindrome (12211221).

The spelling of 1220122110000 in words is "one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 40670737 81341474 122012211 162682948 203353685 244024422 325365896 406707370 488048844 610061055 650731792 813414740 976097688 1016768425 1220122110 1626829480 1952195376 2033536850 2440244220 3050305275 3253658960 4067073700 4880488440 5083842125 6100610550 8134147400 9760976880 10167684250 12201221100 15251526375 16268294800 20335368500 24402442200 25419210625 30503052750 40670737000 48804884400 50838421250 61006105500 76257631875 81341474000 101676842500 122012211000 152515263750 203353685000 244024422000 305030527500 406707370000 610061055000 1220122110000