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1211211201012 = 2231935320297417
BaseRepresentation
bin10001101000000001110…
…100000011100111110100
311021210100101120010112120
4101220001310003213310
5124321030031413022
62324231151315540
7153335641224201
oct21500164034764
94253311503476
101211211201012
1142774316837a
121768a821bbb0
138a2a81bba67
14428a1494ca8
152178e097d5c
hex11a01d039f4

1211211201012 has 96 divisors (see below), whose sum is σ = 2985204969600. Its totient is φ = 381164838912.

The previous prime is 1211211200989. The next prime is 1211211201023. The reversal of 1211211201012 is 2101021121121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1211211200982 and 1211211201000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 163298328 + ... + 163305744.

It is an arithmetic number, because the mean of its divisors is an integer number (31095885100).

Almost surely, 21211211201012 is an apocalyptic number.

1211211201012 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 1211211201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492602484800).

1211211201012 is an abundant number, since it is smaller than the sum of its proper divisors (1773993768588).

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

1211211201012 is a wasteful number, since it uses less digits than its factorization.

1211211201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9825 (or 9823 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1211211201012 its reverse (2101021121121), we get a palindrome (3312232322133).

The spelling of 1211211201012 in words is "one trillion, two hundred eleven billion, two hundred eleven million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 353 706 1059 1412 2029 2118 4058 4236 6087 6707 7417 8116 12174 13414 14834 20121 22251 24348 26828 29668 38551 40242 44502 77102 80484 89004 115653 140923 154204 231306 281846 422769 462612 563692 716237 845538 1432474 1691076 2148711 2618201 2864948 4297422 5236402 7854603 8594844 10472804 13608503 15049093 15709206 27217006 30098186 31418412 40825509 45147279 49745819 54434012 60196372 81651018 90294558 99491638 149237457 163302036 180589116 198983276 285932767 298474914 571865534 596949828 857798301 1143731068 1715596602 3431193204 5312329829 10624659658 15936989487 21249319316 31873978974 63747957948 100934266751 201868533502 302802800253 403737067004 605605600506 1211211201012