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1122021001120 = 25517412507721
BaseRepresentation
bin10000010100111101101…
…010011100011110100000
310222021010120110112022211
4100110331222130132200
5121340344334013440
62215241020011504
7144030504101665
oct20247552343640
93867116415284
101122021001120
113a2934671078
12161556690b94
1381a630a1256
143c43dd53a6c
151e2bdd7beea
hex1053da9c7a0

1122021001120 has 48 divisors (see below), whose sum is σ = 2806702540488. Its totient is φ = 422407905280.

The previous prime is 1122021001117. The next prime is 1122021001139. The reversal of 1122021001120 is 211001202211.

It can be written as a sum of positive squares in 4 ways, for example, as 1091782573456 + 30238427664 = 1044884^2 + 173892^2 .

It is a super-2 number, since 2×11220210011202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1122021001120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206251141 + ... + 206256580.

Almost surely, 21122021001120 is an apocalyptic number.

1122021001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122021001120 is an abundant number, since it is smaller than the sum of its proper divisors (1684681539368).

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

1122021001120 is a wasteful number, since it uses less digits than its factorization.

1122021001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412507753 (or 412507745 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1122021001120 its reverse (211001202211), we get a palindrome (1333022203331).

The spelling of 1122021001120 in words is "one trillion, one hundred twenty-two billion, twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 412507721 825015442 1650030884 2062538605 3300061768 4125077210 6600123536 7012631257 8250154420 13200247072 14025262514 16500308840 28050525028 33000617680 35063156285 56101050056 66001235360 70126312570 112202100112 140252625140 224404200224 280505250280 561010500560 1122021001120