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1221411003252 = 2231123731771719
BaseRepresentation
bin10001110001100001110…
…001001101101101110100
311022202200020021202210220
4101301201301031231310
5130002422204101002
62333035232414340
7154146463141026
oct21614161155564
94282606252726
101221411003252
11430aa773a800
121788740a73b0
138b2423c44bb
144318bd88016
1521b897717bc
hex11c61c4db74

1221411003252 has 144 divisors (see below), whose sum is σ = 3227458523520. Its totient is φ = 358980145920.

The previous prime is 1221411003251. The next prime is 1221411003269. The reversal of 1221411003252 is 2523001141221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221411003251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16994649 + ... + 17066367.

Almost surely, 21221411003252 is an apocalyptic number.

1221411003252 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 1221411003252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613729261760).

1221411003252 is an abundant number, since it is smaller than the sum of its proper divisors (2006047520268).

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

1221411003252 is a wasteful number, since it uses less digits than its factorization.

1221411003252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72102 (or 72089 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 1221411003252 its reverse (2523001141221), we get a palindrome (3744412144473).

The spelling of 1221411003252 in words is "one trillion, two hundred twenty-one billion, four hundred eleven million, three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 317 363 407 444 484 634 726 814 951 1221 1268 1452 1628 1902 2442 3487 3804 4477 4884 6974 8954 10461 11729 13431 13948 17908 20922 23458 26862 35187 38357 41844 46916 53724 70374 71719 76714 115071 129019 140748 143438 153428 215157 230142 258038 286876 387057 430314 460284 516076 774114 788909 860628 1419209 1548228 1577818 2366727 2653603 2838418 3155636 4257627 4733454 5307206 5676836 7960809 8515254 8677999 9466908 10614412 15921618 17030508 17355998 22734923 26033997 29189633 31843236 34711996 45469846 52067994 58379266 68204769 87568899 90939692 104135988 116758532 136409538 175137798 250084153 272819076 321085963 350275596 500168306 642171926 750252459 841192151 963257889 1000336612 1284343852 1500504918 1682384302 1926515778 2523576453 2750925683 3001009836 3364768604 3853031556 5047152906 5501851366 8252777049 9253113661 10094305812 11003702732 16505554098 18506227322 27759340983 33011108196 37012454644 55518681966 101784250271 111037363932 203568500542 305352750813 407137001084 610705501626 1221411003252