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1220010000 = 24354113697
BaseRepresentation
bin100100010110111…
…1110000000010000
310011000122221002120
41020231332000100
54444310310000
6321021014240
742142625316
oct11055760020
93130587076
101220010000
11576733630
122a06b4380
131659ac311
14b805c0b6
157218e6a0
hex48b7e010

1220010000 has 200 divisors, whose sum is σ = 4297549344. Its totient is φ = 295680000.

The previous prime is 1220009993. The next prime is 1220010059. The reversal of 1220010000 is 100221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 328152 + ... + 331848.

Almost surely, 21220010000 is an apocalyptic number.

1220010000 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 1220010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148774672).

1220010000 is an abundant number, since it is smaller than the sum of its proper divisors (3077539344).

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

1220010000 is a wasteful number, since it uses less digits than its factorization.

1220010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1220010000 is about 34928.6415424362. The cubic root of 1220010000 is about 1068.5326496210.

Adding to 1220010000 its reverse (100221), we get a palindrome (1220110221).

The spelling of 1220010000 in words is "one billion, two hundred twenty million, ten thousand".