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121111101220002 = 231737179991180907
BaseRepresentation
bin11011100010011001100000…
…001010101010010010100010
3120212211002220212202012122120
4123202121200022222102202
5111333241013403020002
61105325401040045110
734336662663550455
oct3342314012522242
9525732825665576
10121111101220002
1135653a25308093
1211700186903796
1352769600ac47a
1421c9b46a3549c
15e0059e9dbcbc
hex6e26602aa4a2

121111101220002 has 128 divisors (see below), whose sum is σ = 265142469795840. Its totient is φ = 36724902128640.

The previous prime is 121111101219973. The next prime is 121111101220061. The reversal of 121111101220002 is 200022101111121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669375633 + ... + 669556539.

It is an arithmetic number, because the mean of its divisors is an integer number (2071425545280).

Almost surely, 2121111101220002 is an apocalyptic number.

121111101220002 is an abundant number, since it is smaller than the sum of its proper divisors (144031368575838).

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

121111101220002 is a wasteful number, since it uses less digits than its factorization.

121111101220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182136.

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

Adding to 121111101220002 its reverse (200022101111121), we get a palindrome (321133202331123).

The spelling of 121111101220002 in words is "one hundred twenty-one trillion, one hundred eleven billion, one hundred one million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 17 34 37 51 74 102 111 179 222 358 537 629 991 1074 1258 1887 1982 2973 3043 3774 5946 6086 6623 9129 13246 16847 18258 19869 33694 36667 39738 50541 73334 101082 110001 112591 177389 180907 220002 225182 337773 354778 361814 532167 542721 623339 675546 1064334 1085442 1246678 1870017 3015613 3075419 3740034 6031226 6150838 6563393 6693559 9046839 9226257 13126786 13387118 18093678 18452514 19690179 20080677 32382353 39380358 40161354 64764706 97147059 111577681 113790503 179278837 194294118 223155362 227581006 334733043 341371509 358557674 537836511 550500001 669466086 682743018 1075673022 1101000002 1198147061 1651500003 2396294122 3047740229 3303000006 3594441183 6095480458 6633316969 7188882366 9143220687 13266633938 18286441374 19899950907 20368500037 32090911823 39799901814 40737000074 61105500111 64181823646 96272735469 112766388473 122211000222 192545470938 225532776946 338299165419 545545500991 676598330838 1091091001982 1187363737451 1636636502973 2374727474902 3273273005946 3562091212353 7124182424706 20185183536667 40370367073334 60555550610001 121111101220002