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1211340342012 = 2231726940575441
BaseRepresentation
bin10001101000001001100…
…000101100001011111100
311021210200101120011200120
4101220021200230023330
5124321311111421022
62324252043254540
7153342100006443
oct21501140541374
94253611504616
101211340342012
114277aa052979
1217692351a450
138a2c8b96558
14428b46add5a
152179a5a6d5c
hex11a0982c2fc

1211340342012 has 96 divisors (see below), whose sum is σ = 3005141186880. Its totient is φ = 378452705280.

The previous prime is 1211340342007. The next prime is 1211340342013. The reversal of 1211340342012 is 2102430431121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211340342013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 222629212 + ... + 222634652.

It is an arithmetic number, because the mean of its divisors is an integer number (31303554030).

Almost surely, 21211340342012 is an apocalyptic number.

1211340342012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211340342012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502570593440).

1211340342012 is an abundant number, since it is smaller than the sum of its proper divisors (1793800844868).

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

1211340342012 is a wasteful number, since it uses less digits than its factorization.

1211340342012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9791 (or 9789 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1211340342012 its reverse (2102430431121), we get a palindrome (3313770773133).

The spelling of 1211340342012 in words is "one trillion, two hundred eleven billion, three hundred forty million, three hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 269 538 807 1076 1614 3228 4057 4573 5441 8114 9146 10882 12171 13719 16228 16323 18292 21764 24342 27438 32646 48684 54876 65292 68969 92497 137938 184994 206907 275876 277491 369988 413814 554982 827628 1091333 1109964 1463629 2182666 2927258 3273999 4365332 4390887 5854516 6547998 8781774 13095996 17563548 18552661 22074137 24881693 37105322 44148274 49763386 55657983 66222411 74210644 74645079 88296548 99526772 111315966 132444822 149290158 222631932 264889644 298580316 375260329 750520658 1125780987 1501041316 2251561974 4503123948 5937942853 11875885706 17813828559 23751771412 35627657118 71255314236 100945028501 201890057002 302835085503 403780114004 605670171006 1211340342012