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2122220001120 = 253528011578469
BaseRepresentation
bin11110111000011110001…
…010110101011101100000
321111212211011100012111020
4132320132022311131200
5234232301310013440
64302533455445440
7306216406241652
oct36703612653540
97455734305436
102122220001120
1174903495667a
122a3373226880
13125180663b6b
1474a0499c6d2
153a30cd013d0
hex1ee1e2b5760

2122220001120 has 96 divisors (see below), whose sum is σ = 6687383885280. Its totient is φ = 565722931200.

The previous prime is 2122220001107. The next prime is 2122220001133. The reversal of 2122220001120 is 211000222212.

It is an interprime number because it is at equal distance from previous prime (2122220001107) and next prime (2122220001133).

It is a tau number, because it is divible by the number of its divisors (96).

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 2122220001120.

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, 555246 + ... + 2133714.

It is an arithmetic number, because the mean of its divisors is an integer number (69660248805).

Almost surely, 22122220001120 is an apocalyptic number.

2122220001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122220001120 is an abundant number, since it is smaller than the sum of its proper divisors (4565163884160).

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

2122220001120 is a wasteful number, since it uses less digits than its factorization.

2122220001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581288 (or 1581280 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2122220001120 its reverse (211000222212), we get a palindrome (2333220223332).

The spelling of 2122220001120 in words is "two trillion, one hundred twenty-two billion, two hundred twenty million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2801 5602 8403 11204 14005 16806 22408 28010 33612 42015 44816 56020 67224 84030 89632 112040 134448 168060 224080 268896 336120 448160 672240 1344480 1578469 3156938 4735407 6313876 7892345 9470814 12627752 15784690 18941628 23677035 25255504 31569380 37883256 47354070 50511008 63138760 75766512 94708140 126277520 151533024 189416280 252555040 378832560 757665120 4421291669 8842583338 13263875007 17685166676 22106458345 26527750014 35370333352 44212916690 53055500028 66319375035 70740666704 88425833380 106111000056 132638750070 141481333408 176851666760 212222000112 265277500140 353703333520 424444000224 530555000280 707406667040 1061110000560 2122220001120