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11222121440 = 255402717417
BaseRepresentation
bin10100111001110001…
…11111101111100000
31001222002101211120102
422130320333233200
5140440330341230
65053321001532
7545044313135
oct123470775740
931862354512
1011222121440
11483965aa32
1222123232a8
13109ac5885a
147865b058c
1545a318045
hex29ce3fbe0

11222121440 has 48 divisors (see below), whose sum is σ = 26520368112. Its totient is φ = 4487476224.

The previous prime is 11222121431. The next prime is 11222121511. The reversal of 11222121440 is 4412122211.

It is a super-2 number, since 2×112221214402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635612 + ... + 653028.

It is an arithmetic number, because the mean of its divisors is an integer number (552507669).

Almost surely, 211222121440 is an apocalyptic number.

11222121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222121440 is an abundant number, since it is smaller than the sum of its proper divisors (15298246672).

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

11222121440 is a wasteful number, since it uses less digits than its factorization.

11222121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21459 (or 21451 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11222121440 its reverse (4412122211), we get a palindrome (15634243651).

The spelling of 11222121440 in words is "eleven billion, two hundred twenty-two million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 4027 8054 16108 17417 20135 32216 34834 40270 64432 69668 80540 87085 128864 139336 161080 174170 278672 322160 348340 557344 644320 696680 1393360 2786720 70138259 140276518 280553036 350691295 561106072 701382590 1122212144 1402765180 2244424288 2805530360 5611060720 11222121440