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1211122222002 = 2327112791005553
BaseRepresentation
bin10001100111111100100…
…000101000001110110010
311021210010012010112021200
4101213330200220032302
5124320334242101002
62324214252232030
7153333511013160
oct21477440501662
94253105115250
101211122222002
114276a7a14100
1217688246b616
138a292936764
1442893732230
152178636db1c
hex119fc8283b2

1211122222002 has 144 divisors (see below), whose sum is σ = 3338117502720. Its totient is φ = 310594901760.

The previous prime is 1211122221983. The next prime is 1211122222019. The reversal of 1211122222002 is 2002222211121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 701658 + ... + 1707210.

Almost surely, 21211122222002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211122222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669058751360).

1211122222002 is an abundant number, since it is smaller than the sum of its proper divisors (2126995280718).

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

1211122222002 is a wasteful number, since it uses less digits than its factorization.

1211122222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005669 (or 1005655 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1211122222002 its reverse (2002222211121), we get a palindrome (3213344433123).

The spelling of 1211122222002 in words is "one trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 79 99 121 126 154 158 198 231 237 242 363 462 474 553 693 711 726 847 869 1089 1106 1386 1422 1659 1694 1738 2178 2541 2607 3318 4977 5082 5214 6083 7623 7821 9559 9954 12166 15246 15642 18249 19118 28677 36498 54747 57354 66913 86031 109494 133826 172062 200739 401478 602217 1005553 1204434 2011106 3016659 6033318 7038871 9049977 11061083 14077742 18099954 21116613 22122166 33183249 42233226 63349839 66366498 77427581 79438687 99549747 121671913 126699678 154855162 158877374 199099494 232282743 238316061 243343826 365015739 464565486 476632122 556070809 696848229 714948183 730031478 851703391 873825557 1095047217 1112141618 1393696458 1429896366 1668212427 1703406782 1747651114 2190094434 2555110173 2621476671 3336424854 5004637281 5110220346 5242953342 6116778899 7665330519 7864430013 9612081127 10009274562 12233557798 15330661038 15728860026 18350336697 19224162254 28836243381 36700673394 55051010091 57672486762 67284567889 86508730143 110102020182 134569135778 173017460286 201853703667 403707407334 605561111001 1211122222002