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1213405042120 = 23578541386233
BaseRepresentation
bin10001101010000100100…
…100111001010111001000
311022000000021122210202221
4101222010210321113020
5124340023142321440
62325233001103424
7153444210452335
oct21520444712710
94260007583687
101213405042120
114286695706a7
121771baa87b74
138a567874cab
1442a2c9ab98c
152186b999d4a
hex11a849395c8

1213405042120 has 32 divisors (see below), whose sum is σ = 2730203174520. Its totient is φ = 485354580480.

The previous prime is 1213405042099. The next prime is 1213405042147. The reversal of 1213405042120 is 212405043121.

It can be written as a sum of positive squares in 4 ways, for example, as 1124647524036 + 88757518084 = 1060494^2 + 297922^2 .

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 7 ways as a sum of consecutive naturals, for example, 2948524 + ... + 3334756.

Almost surely, 21213405042120 is an apocalyptic number.

1213405042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213405042120 is an abundant number, since it is smaller than the sum of its proper divisors (1516798132400).

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

1213405042120 is a wasteful number, since it uses less digits than its factorization.

1213405042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464785 (or 464781 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 1213405042120 in words is "one trillion, two hundred thirteen billion, four hundred five million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 78541 157082 314164 386233 392705 628328 772466 785410 1544932 1570820 1931165 3089864 3141640 3862330 7724660 15449320 30335126053 60670252106 121340504212 151675630265 242681008424 303351260530 606702521060 1213405042120