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1212156960400 = 2452550492
BaseRepresentation
bin10001101000111010001…
…011110101111010010000
311021212210022011200112001
4101220322023311322100
5124324444140213100
62324505054243344
7153401244106201
oct21507213657220
94255708150461
101212156960400
11428089004401
12176b10ab6554
138a3c91175b9
1442950d235a8
15217e7112d6a
hex11a3a2f5e90

1212156960400 has 45 divisors (see below), whose sum is σ = 2912260000411. Its totient is φ = 484853976320.

The previous prime is 1212156960323. The next prime is 1212156960401. The reversal of 1212156960400 is 40696512121.

The square root of 1212156960400 is 1100980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 137899337104 + 1074257623296 = 371348^2 + 1036464^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1212156960400.

It is not an unprimeable number, because it can be changed into a prime (1212156960401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21992076 + ... + 22047124.

Almost surely, 21212156960400 is an apocalyptic number.

1212156960400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1212156960400 is the 1100980-th square number.

It is an amenable number.

1212156960400 is an abundant number, since it is smaller than the sum of its proper divisors (1700103040011).

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

1212156960400 is an frugal number, since it uses more digits than its factorization.

1212156960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110116 (or 55056 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 1212156960400 in words is "one trillion, two hundred twelve billion, one hundred fifty-six million, nine hundred sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 55049 110098 220196 275245 440392 550490 880784 1100980 1376225 2201960 2752450 4403920 5504900 11009800 22019600 3030392401 6060784802 12121569604 15151962005 24243139208 30303924010 48486278416 60607848020 75759810025 121215696040 151519620050 242431392080 303039240100 606078480200 1212156960400