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120401001 = 32753107337
BaseRepresentation
bin1110010110100…
…10110001101001
322101120000010100
413023102301221
5221310313001
615540340013
72661251220
oct713226151
9271500110
10120401001
1161a66066
12343a4609
131bc375c6
1411dc1cb7
15a884586
hex72d2c69

120401001 has 48 divisors (see below), whose sum is σ = 205006464. Its totient is φ = 66673152.

The previous prime is 120400999. The next prime is 120401009. The reversal of 120401001 is 100104021.

It is a happy number.

It is not a de Polignac number, because 120401001 - 21 = 120400999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120401009) 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, 357105 + ... + 357441.

It is an arithmetic number, because the mean of its divisors is an integer number (4270968).

Almost surely, 2120401001 is an apocalyptic number.

It is an amenable number.

120401001 is a deficient number, since it is larger than the sum of its proper divisors (84605463).

120401001 is a wasteful number, since it uses less digits than its factorization.

120401001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120401001 is about 10972.7389926126. The cubic root of 120401001 is about 493.7912226225.

Adding to 120401001 its reverse (100104021), we get a palindrome (220505022).

It can be divided in two parts, 12040 and 1001, that added together give a triangular number (13041 = T161).

The spelling of 120401001 in words is "one hundred twenty million, four hundred one thousand, one".

Divisors: 1 3 7 9 21 53 63 107 159 321 337 371 477 749 963 1011 1113 2247 2359 3033 3339 5671 6741 7077 17013 17861 21231 36059 39697 51039 53583 108177 119091 125027 160749 252413 324531 357273 375081 757239 1125243 1911127 2271717 5733381 13377889 17200143 40133667 120401001