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1221130240 = 21151137293
BaseRepresentation
bin100100011001000…
…1111100000000000
310011002202211202221
41020302033200000
510000102131430
6321101020424
742155302321
oct11062174000
93132684687
101221130240
11577329250
122a0b54714
13165cb2195
14b8270448
157231157a
hex48c8f800

1221130240 has 192 divisors, whose sum is σ = 3293952480. Its totient is φ = 430571520.

The previous prime is 1221130201. The next prime is 1221130291. The reversal of 1221130240 is 420311221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4167534 + ... + 4167826.

Almost surely, 21221130240 is an apocalyptic number.

1221130240 is a gapful number since it is divisible by the number (10) 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 1221130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646976240).

1221130240 is an abundant number, since it is smaller than the sum of its proper divisors (2072822240).

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

1221130240 is a wasteful number, since it uses less digits than its factorization.

1221130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1221130240 is about 34944.6739861742. The cubic root of 1221130240 is about 1068.8595996263.

Adding to 1221130240 its reverse (420311221), we get a palindrome (1641441461).

The spelling of 1221130240 in words is "one billion, two hundred twenty-one million, one hundred thirty thousand, two hundred forty".