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1212114014304 = 25329530982009
BaseRepresentation
bin10001101000110111101…
…000000001000001100000
311021212200022100210112220
4101220313220001001200
5124324402141424204
62324500521551040
7153400213061004
oct21506750010140
94255608323486
101212114014304
11428066841366
12176aba645480
138a3c025bacb
1442949344704
15217e347d1d9
hex11a37a01060

1212114014304 has 96 divisors (see below), whose sum is σ = 3292176636000. Its totient is φ = 390027423744.

The previous prime is 1212114014231. The next prime is 1212114014437. The reversal of 1212114014304 is 4034104112121.

It is a happy number.

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 (24).

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, 14739252 + ... + 14821260.

It is an arithmetic number, because the mean of its divisors is an integer number (34293506625).

Almost surely, 21212114014304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212114014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646088318000).

1212114014304 is an abundant number, since it is smaller than the sum of its proper divisors (2080062621696).

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

1212114014304 is a wasteful number, since it uses less digits than its factorization.

1212114014304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87360 (or 87352 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1212114014304 its reverse (4034104112121), we get a palindrome (5246218126425).

The spelling of 1212114014304 in words is "one trillion, two hundred twelve billion, one hundred fourteen million, fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 5309 10618 15927 21236 31854 42472 63708 82009 84944 127416 153961 164018 169888 246027 254832 307922 328036 461883 492054 509664 615844 656072 923766 984108 1231688 1312144 1847532 1968216 2378261 2463376 2624288 3695064 3936432 4756522 4926752 7134783 7390128 7872864 9513044 14269566 14780256 19026088 28539132 38052176 57078264 76104352 114156528 228313056 435385781 870771562 1306157343 1741543124 2612314686 3483086248 5224629372 6966172496 10449258744 12626187649 13932344992 20898517488 25252375298 37878562947 41797034976 50504750596 75757125894 101009501192 151514251788 202019002384 303028503576 404038004768 606057007152 1212114014304